Which of the following is an equivalent form of the compound inequality. -44 > -2x - 8 ≥ -8?
-2x - 8 > -44 and -2x - 8 ≥ -8.
-2x > -44 and -8 ≥ -8.
-2x - 8 < -44 and -2x - 8 ≤ -8.
-2x - 8 < -44 and -2x - 8 ≥ -8.

Solution:

Given: Inequality is -44 > -2x - 8 ≥ -8

Each compound inequality can be denoted as two inequalities

−44 > -2x - 8 ---->(1)

It can be written as

- 2x - 8 ≥ -8 ----->(2)

It is seen that the first inequality (1) can be written as - 2x - 8 < - 44

Which represents the same as (2)

Therefore, the equivalent form is - 2x - 8 < - 44 and - 2x - 8 ≥ -8.

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

Summary:

The equivalent form of the compound inequality -44 > -2x - 8 ≥ -8 is - 2x - 8 < - 44 and - 2x - 8 ≥ -8.