Question

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

−3x − 6 > −33 and −3x − 6 ≥ −6
−3x − 6 < −33 and −3x − 6 ≥ −6
−3x > −33 and −6 ≥ −6
−3x − 6 < −33 and −3x − 6 ≤ −6

Answer 1

B

Explanation:

took the test

Answer 2

`-3x-6 < -33` and
`-3x-6 \geq -6`

Explanation:

we have

`-33 > -3x-6 \geq -6`

we know that

Compound inequality can be divided into two inequalities

so

`-33 > -3x-6`

rewrite

`-3x-6 < -33`

and

`-3x-6 \geq -6`

therefore

An equivalent form of the compound inequality is

`-3x-6 < -33` and
`-3x-6 \geq -6`