Use an element argument to prove the statement. (Assume that all sets are subsets of a universal set U.)
Statement: For all sets A, B, and C, (A − B) ∩ (C − B) = (A ∩ C) − B.
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
Which of these is a group of organs that work together and perform one or more functions?
• Organelle
• Organ System
•Molecule
•Tissue
Answer:
molecues
Step-by-step explanation:
molecues
Answer:
Organ System, and organ system is a group of organs that work together to accomplish a goal. An example of this would the the Digestive system, this is a organ system made up of may organs such as your large and small intestine and stomach in order to complete your digestive track.
A triangle has a height of 5 and an area of 60. Find the base.
Answer:
24
Step-by-step explanat
0.3d-1/3 1/3=.84:7/15
Answer:
[tex]d=\frac{147}{6.3}[/tex]
Step-by-step explanation:
The right side is a ratio [tex]0.84:\frac{7}{15}[/tex] a ratio can be written as a fraction [tex]\frac{0.84}{\frac{7}{15} }[/tex] this means [tex]0.84[/tex] divide by [tex]\frac{7}{15}[/tex] which is the same as [tex]0.84*\frac{15}{7}=\frac{12.6}{7}[/tex] On the left, change the mixed fraction [tex]3\frac{1}{3}[/tex] to the improper fraction [tex]\frac{10}{3}[/tex] Then divide [tex]0.3d-1[/tex] by [tex]\frac{10}{3}[/tex] which is same as [tex](0.3d-1)*\frac{3}{10} =\frac{3(0.3d-1)}{10}[/tex] So the equation is now [tex]\frac{3(0.3d-1)}{10}=\frac{12.6}{7}[/tex] Now multiply both sides by 10 and 7:[tex](10)*(7)*\frac{3(0.3d-1)}{10}=\frac{12.6}{7}*(7)*(10)\\7*3(0.3d-1)=12.6*(10)\\21*(0.3d-1)=126\\6.3d-21=126\\6.3d-21+(21)=126+(21)\\6.3d=147\\d=\frac{147}{6.3}[/tex]Answer:
d=147/6.3
Step-by-step explanation:
d = 147 / 6.3
How to add rational numbers with different denominator ?
How to add rational numbers with same denominator ?
Help!
Answer:
6/7 + 18/7 = 24/7
Step-by-step explanation:
you add the numerator while the denominator remains the same
6 2/7 divided by 2 3/4
Answer:
16/7
Step-by-step explanation:
6 2/7 / 2 3/4
44/7 / 11/4
44x4/7x11
16/7
Name all the segments that is parallel to the given segment.
Answer and Step-by-step explanation:
AB is parallel to FE
CA is parallel to EG
CB is parallel to FG
#teamtrees #WAP (Water And Plant)
what is the value of x in 9/5 x = 2/3
Answer:
x = 10/27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
9/5x = 2/3
Step 2: Solve for x
Divide both sides by 9/5: x = 10/27Step 3: Check
Plug in x to verify it's a solution.
Substitute: 9/5(10/27) = 2/3Multiply: 90/135 = 2/3Simplify: 2/3 = 2/3And we have our final answer!
Answer:
x = 10/27
Step-by-step explanation:
2/3 ÷ 9/5
2/3 x 5/9 = 10/27
The polynomial p(x)= x3 + 7x2 – 36 has a known factor of (x + 3).
HELPPPPPPpppp Pleaseee
Answer:
Step-by-step explanation:
1 min= 20%+5%=25%
Therefore 2 min = 25%+5%=30%
3 min=30%+5%=35%
4min =40% therefore your coodinates will be like(1,25),(2,30),(3,35),(4,40) etc
joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76 which is a better buy?
Answer:
my name is joseph
Step-by-step explanation:
On a hot summer day, Leo and Stefano decided to buy some refreshments at the Fruit and Smoothies store. Fruit kabobs cost $1.75 each and smoothies cost $2.50 each. Leo ordered two fruit kabobs and one smoothie. How much did he spend?
Answer:
$6.00
Step-by-step explanation:
2(1.75)+2.50=6
what is the weight of 15 gallons of water?
Answer:
A gallon of water is approximately 8.3 pounds. 8.3*15=124.5
So the weight of 15 gallons of water is 124.5 pounds.
Answer:
A gallon of water weighs approx. 8.34 lbs. so 15 gallons would be, let me see, 18.34 equals, 125.10 lbs. Therefore the weight of 15 gallons of water would be 125.20 lbs
Step-by-step explanation:
find the circumference of the circle iready r=9
Answer:
56.52
Step-by-step explanation:
Here, r = 9 is given
Then, The Formula of Circumference of Cirlcle
= 2πr
= 2 × 3.14 × 9 = 56.52
Thus, The Circumference of Cirlcle is 56.52
Jennilsa is making ice cream. The recipe requires 1/2 cup of milk and 1 1/2 teaspoons of sugar.
Jennilsa wants to make the recipe using 1 cup of milk. To maintain the ratio, how much sugar is
required when 1 cup of milk is used?
Answer:
Three cups of sugar
Step-by-step explanation:
just times 1 1/2 by 2
Answer:
3
Step-by-step explanation:
need help with this
Answer:
on which subject.
Step-by-step explanation:
Help me and I’ll give u BRAINLEST!!
please answer this quickly
Answer:
C
Step-by-step explanation:
she adds to her collection 6 +4 = 10. then triples that
Answer:
well by using pemdas you would solve whats in the parenthisis so 6+4 = 10 x 3 = 30
YOUR ANSWER IS 30
4. A food delivery service charges a $100 membership fee to join, and also charges $5 for each delivery. Find the linear equation that models the cost based on number of deliveries. At the total cost of $200, how many deliveries will have been made?
Answer:
200-100=5(x)
Step-by-step explanation:
If the total cost is 200 dollars and we spent 100 on the fee, we have 100 dolars for deliveries.
If each delivery is 5 dollars, then the amount of money spent on deliveries is x(unknown) dollars then we have 200 - 100 = 5 x <--unknown
total money^ ^fee ^each deliv
Olivia ate 1/6 of the pepperoni pizza and 1/3 of the vegetarian pizza and 1/6 of the cheese pizza how much of the pizza she eat
Answer: She ate 4/6 of the pizza.
Chloe plz give answer :(
Answer:
im lost, hat's ur question?
Step-by-step explanation:
Answer:
:(
Step-by-step explanation:
Question 6 of 10
In which form is the following function written?
y= -2(x - 3)(x + 5)
___ form.
Answer:
Root form
Step-by-step explanation:
If this is precalculus or Algebra 2, then this should be root form
Answer:
factorised form
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answer:
The answer is 25:1
Step-by-step explanation:
Classify the polynomial by its degree and the number of terms. 8x²- 3y + 7
Answer:
2nd degree
Step-by-step explanation:
The width of a rectangle is 2 and the length is 2.what is the area of the rectangle
Answer:
2x2+ 4 The area is 4 in
Step-by-step explanation:
simpifly 15/20 .............
Answer:
3/4
Step-by-step explanation:
Divide both numerator and denominator by 5:
3/4
What is -2 (7-4)+4=-4
Wich calculation will ALWAYS have a result greater than 1
Step-by-step explanation:
number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1
I am being timed. Hurry please but take your time.
An unknown fractors is between 0 and 1. Which is true about the equivalent percent and decimal?
A. O The percent and decimal are betwern 0 and 1.
B. O The percent and decimal are greater than 1 and less than 100.
C. O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
D. O The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Answer: D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Which of the following expressions is equal to 5 - 2(x + 2)?
0 -2x+1
O 3x+6
0 -2x+2
O 3x+2
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ - 2x + 1}}}}[/tex]
♨ Question :Which of the following expressions is equal to 5 - 2 ( x + 2 ) ?♨ Available options :- 2x + 1 ✔ 3x + 6- 2x + 23x + 2✎ Step - by - step explanation[tex] \bold{ \text{5 - 2(x + 2)}}[/tex]Distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{5 - 2x - 4}}[/tex]
Now , subtract 4 from 5
[tex] \dashrightarrow{ \boxed{\sf{ - 2x + 1}}}[/tex]
Therefore , Option A is the best choice.
Hope I helped!
Have a wonderful time! ツ
~TheAnimeGirl