Compare solving equations with solving inequalities. How are the processes similar or different?

Answers

Answer 1

Answer:

Similarities

1. Adding or subtracting a number from both sides.

2. Multiplying or dividing both sides by a positive number.

3. Applying an increasing function to both sides.

4. Simplifying one or both sides.

Differences

1. Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

2. When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

3. Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.


Related Questions

1 9/7 ​ ÷ 5/4 ​ please help me

Answers

Answer:

64/35

In mixed number form: 1 29/35

Step-by-step explanation:

Thats my fasted record for solving a division problem hehe :) You're welcome!

64/35 explaintion: I searched it up

Find the 64th term of the arithmetic sequence 2, -3,-8

Answers

Answer:

-313

Step-by-step explanation:

a1=2; d=-5

a64=2-5(64-1)=-313

The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The arithmetic sequence;

⇒ 2 , -3 , -8 ...

Now,

The general equation for nth term of the arithmetic sequence is,

[tex]T_{n} = a + (n - 1) d[/tex]

Where, The term 'a' represent the first term.

And, 'd' represent the difference between each consecutive numbers.

Here, In the arithmetic sequence 2 , -3, -8;

The first term = 2

The difference = -3 - (2) = - 5

So, To find the 64th term of the arithmetic sequence, we can substitute

n = 64 and a = 2 and d = -5 in above formula as;

[tex]T_{n} = a + (n - 1) d[/tex]

[tex]T_{64} = 2 + (64 - 1) (-5)[/tex]

[tex]T_{64} = 2 + (63 * -5)[/tex]

[tex]T_{64} = 2 - 315[/tex]

[tex]T_{64} = -313[/tex]

Thus, The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

Learn more about the arithmetic sequence visit:

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A club has 800 members. 100 of the members were randomly picked and were asked if the dues should be raised. 6 of the members said that dues should be raised. Based on these results, about how many members in the club would be expected to say that dues should be raised?

Answers

Answer:

About 48 members would be expected to say that dues be raised

Step-by-step explanation:

Here, we shall be using a case of a representative sampling to determine the actual.

Out of the 100 selected members, 6 said the dues should be raised;

This represents a percentage of 6/100 = 6%

So out of the 800, the expected number of members that would ask for a dues raising will be;

6/100 * 800 = 48

Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. Step 1: 4 x − 3 − 2 x − 5 Step 2: 2 x − 8 C. Step 1: 4 x − 3 − 2 x − 10 Step 2: 2 x − 13 D. Step 1: 4 x − 3 + 2 x + 10 Step 2: 6 x + 7

Answers

Answer:

Step 1: 4 x − 3 − 2 x − 10

Step 2: 2 x − 13

Step-by-step explanation:

Given the expression;

(4 x − 3) − 2 (x + 5)

The following steps/ procedure are to be taken when simplifying the expression.

open the parenthesis

(4 x − 3) − 2 (x + 5)

= 4x-3 -2(x)-2(5)

= 4x-3-2x-10

collect the like terms

= 4x-2x-3-10

simplify the resulting expression

= 2x-13

Hence the procedure that correctly simplifies the expression are:

Step 1: 4 x − 3 − 2 x − 10

Step 2: 2 x − 13

Whitne bought 10 bagels for brunch last Sunday. 8 of the bagels had raisins. What fraction of the bagels had raisins?

Answers

Answer:

8/10 bagels had raisins :)

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

Answers

Answer:

x^5/y for x

Step-by-step explanation:

Answer:

The answer is C   100

Step-by-step explanation:

A virus is spreading around Dover. At the moment, 310 people are infected. If the virus is spreading at a rate of 10% each day, how many people in all will have caught the virus in 14 days?

Answers

Answer:

434 people

Step-by-step explanation:

10% of 310 is 31

so, 31 × 14 days is 434

so its 434 people

Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 5 limbs, lost 12 limbs, and grew another 2 limbs. How many limbs does the mutant-zombie have compared to yesterday?

Answers

one less limb than yesterday! so let’s assume like a regular human the mutant has 4 limbs. he grows another 5 and now he’s got 9 limbs. he loses 12 so 9-12 equals -3, plus 2 is -1.

There are 12 kittens. If they all average 4.7 pounds, what is the total weight of all 12 kittens

Answers

Answer:

56.4 pounds

Step-by-step explanation:

Multiply 12 (kittens) by 4.7(pounds) and you get 56.4 pounds, the total weight of the kittens combined.


A hot air balloon rose from a height of 100 meters to 450 meters in 3
minutes. What was the balloon's rate of change

Answers

Answer:

350 meters.

Step-by-step explanation:

Will a non-metal replace a metal?
Yes
No

Answers

Answer:

No

Step-by-step explanation:

I think only a metal can replace a metal, not a non-metal replace a metal

help pls I really need help can anyone help me​

Answers

Answer:

you didn't screenshot/take the photo fully...

we can't see it.

Step-by-step explanation:

Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply. x = z x + y = 180° x + z = 180° x = y z = 180°

Answers

The equations that would guarantee that lines p and q are parallel are;

x = z

x + y = 180°

The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.

From the image given;

We see that a transverse line cuts across the two parallel lines p and q. Thus;

We can see that x and z are corresponding angles and as such, we can say that; x = z.

Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.

Thus; y + z = 180°

Since x = z, then by substitution property of equality, we can say that;

x + y = 180°

Read more at; https://brainly.com/question/13128119

Answer:

Step-by-step explanation:

A and B

Candice has been hired as a saleswoman. She is paid a flat rate of $425 each week and earns an additional $17.75 commission for each sale. If her goal is to make $993 in one week, which equation will help Candice determine the number of sales (s) she must make? (3 points)
a
$993 = $425s - $17.75
b
$993 = $425s + $17.75
c
$993 = $17.75s - $425
d
$993 = $17.75s + $425

Answers

I think it is B, because Candice has been hired as a sales woman
The correct answer is B!

How will I graph this? It’s due soon please help.

Graph the line with slope 1/2 passing through the point (-2,5).



Answers

Answer:

y=1/2x + 6

Step-by-step explanation:

Use point slope form

y-y1=m(x-x1)

y-5= 1/2 (x+2)

y-5= 1/2x + 1

y= 1/2x + 6

what is 0.8 1/10 of?

Answers

I don’t know:) but I need points because I just got yeeted out of my other acc so I had to make this

What’s the common difference for this arithmetic sequence: 23,__,__,50...​

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

The 4th term is the sum of the first term and 3 times the common difference.

  50 = 23 + 3d

  27 = 3d

  9 = d

The common difference is 9.

__

The first few terms are ...

  23, 32, 41, 50, 59, 68, ...

If 125 students take a test in psychology and 20 get scores of less than or equal to 50%, then what is the percentile rank of a test score of 50%?



Group of answer choices

12

20

50

16

Answers

Answer:

20

Step-by-step explanation:

Cabletown charges $5 signup fee and a $0.50 charge per video.
Networkflicks charges a $12 signup fee and a $0.15 charge per video. How
many videos do you need to watch in a month for the two companies to cost
the same?

Answers

Given parameters:

Signup fee for Cabletown = $5

Charge per video = $0.50

Sign up fee for Networkflicks = $12

Charge per video = $0.15

Unknown:

The number of videos watched in which the cost of both months will be thesame = ?

Solution:

Let the number of videos= x

Now let us set up algebraic equations to solve this problem;

      5 + 0.5x = 12 + 0.15x

   Collect like terms and solve;

        5 - 12  = 0.15x  - 0.5x

             -7  = -0.35x

               x  = 20

The number of videos watched will be 20 videos

Line A has a slope of −3 . Line B has a slope of 4. Line C has a slope of 2
Which Line Is The Closest To Being Horizontal?
- Line A
- Line B
- Line C
- I dont Know

Answers

Line c. Using rose over Tun 2/1 rising 2 on the graph and over one it is has the least about of slant

The line whose absolute value of the slope is least will be the slope which is close to being horizontal. Hence, line C is the answer.

An horizontal line has will have a slope value of 0. Hence, the steeper the slope, the greater the absolute value of the slope obtained.

This means that a line deviates more from being horizontal as the absolute value of the slope increases.

Therefore, the line with least absolute value would be the closest to being horizontal, hence, line C with an absolute value of 2.

Learn more : https://brainly.com/question/18405415

Write an equation in slope-intercept form that would have infinitely many solutions in a system of equations with 5x+2y=8

Answers

Answer:

y=5/2x-4

Step-by-step explanation:

got it right on my math assignment

The required equation of line in the slope-intercept form will be [tex]y=-\dfrac{5}{2}x+4[/tex].

The given equation of line is [tex]5x+2y=8[/tex].

It is required to write the equation of a line in the slope-intercept form which has infinitely many solutions in the system of equation with the given line.

The system of equations has infinitely many solutions when the equations are the same or all of their coefficients are in the same ratio.

So, the other equation could be,

[tex]k(5x+2y)=8k\\5x+2y=8[/tex]

Now, the equation in slope-intercept form can be written as,

[tex]5x+2y=8\\2y=-5x+8\\y=-\dfrac{5}{2}x+4[/tex]

where the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is 4.

Therefore, the required equation of line in the slope-intercept form will be [tex]y=-\dfrac{5}{2}x+4[/tex].

For more details, refer to the link:

https://brainly.com/question/11824567

I need help with this.

Answers

Answer:

x2 + 8 = 28

The value of x2 is 4.48

Step-by-step explanation:

Hope this is what you were asking for :)

|x-1=-3
Solve for x.

Answers

Answer:

x-1=3

x=3+1

x=4

Is 4 correct.




Explanation:

What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)

Answers

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m of AB using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)

m = [tex]\frac{2-2}{-3-6}[/tex] = [tex]\frac{0}{-9}[/tex] = 0

A line with a slope of zero is a horizontal line, parallel to the x- axis.

Thus a line perpendicular to AB is a vertical line parallel to the y- axis.

The slope of a vertical line is undefined

Which organism shares the most similarities with humans?

fern
jellyfish
lobster
snake

Answers

Answer:

snake

Step-by-step explanation:

Snake, being a reptile, is the closest to humans as per the phylogenetic analysis. In this case which is the lobster. Then comes the jelly fish according to the tree of life.

Answer:

snake

I took the test

HELP ASAP
Ben travels by train 19 miles to work if ben travels 8 times a week how many miles does he travel

Answers

Answer: 152 miles

Step-by-step explanation:

19 x 8 = 152

Solve for h.
-110 = 13 + 3 (4h - 6)

Answers

Answer:

h= -35/4

Step-by-step explanation:

decimal form: -8.75

Mixed number form: -8 3/4

24. q + r t s, for q = 46, r = 19. s = 54​

Answers

[tex](24 \times 46 )+ (19 \times t \times 54) = [/tex]

[tex]1104 + 1026t[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Find the distance between points M(6,16) and z (-1,14) to the nearest tenth

Answers

Answer:ririiriririrjrhr

Step-by-step explanation:

Eudueuei3iei

right so its saying im wrong so witch number is the biggest

32 286
19 682
20 318
32 665
22 382
i put the top one but appearnly its wrong it probs me being stupid i dont know please help 10 points avabile

Answers

Answer:

682 is the biggest number but if it is talking about the two numbers added then it is 19 and 682

Edit: If there is supposed to be a comma in-between the two pairs of numbers then the answer would be 32,665. I didn't think they could have been commas at first but if they are then 32,665 is the answer.

Step-by-step explanation:

682 is bigger than all the others. 19 + 682 is bigger than all the other paired ones.

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