Question

Which of the following is an equivalent form of the compound inequality: -44 > -2x -8 ≥ -8?

Answer 1

If you read the inequality from center to left you get -2x - 8 < -44 then from center to the right it is -2x - 8 >= -8 you get D.

Answer is choice D.

Answer 2

Answer:

D) -2x - 8 < -44 and -2x - 8 ≥ -8

Step-by-step explanation:

The given inequality is

$-44>-2x-8\geq -8$

Every compound inequality can be expressed as two inequalities

$-44>-2x-8\\-2x-8\geq -8$

Observe that the first inequality is equal to

$-2x-8$

It represents the same.

Therefore, the separated inequalities are

$-2x-8$

$-2x-8\geq -8$

Therefore, the right asnwer is D., those are the inequalities which are equivalent to the given compound inequality.