1.If a number a is always less than another number b, which of the following expressions expresses their relationship?

A.a≤b

B.a≥b

C.a>b

D.a 0

D.x 9
Which of the following sentences is the word equivalent of the expression above?

A.The product between 3 and a number is no less than 9.

B.The product between 3 and a number is greater than 9.

C.The product between 3 and a number is no more than 9.

D.The product between 3 and a number is less than 9.

Answer:

Let's define the symbols:

x <  y

means that x is strictly less than y.

x ≤ y

means that x is less than or equal to y.

(both of these signs can be in the other direction, take that in mind).

A) " a is always less than another number b"

Here we should have:

a < b.

a is always less than the other number b.

This is not in the options, so i suppose that there is a mistake in the question.

B) The expression "above" is not shown here, so i will just writhe the correspondent expression for each option, and you can see which one matches with the expression above.

a) "The product between 3 and a number is no less than 9"

3*n ≥ 9.

b) "The product between 3 and a number is greater than 9."

3*n > 9

c) "The product between 3 and a number is no more than 9"

3*n ≤ 9

d) "The product between 3 and a number is less than 9"

3*n < 9

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