Question

Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −48?

−2x − 8 > −44 and −2x − 8 ≥ −48
−2x > −44 and −8 ≥ −48
−2x − 8 < −44 and −2x − 8 ≤ −48
−2x − 8 < −44 and −2x − 8 ≥ −48

Answer 1

The answer is −2x − 8 < −44 and −2x − 8 ≥ −48. OR answer choice D

Explanation:

Answer 2

• D) −2x − 8 < −44 and −2x − 8 ≥ −48

Explanation:

Given compound inequality:

• −44 > −2x − 8 ≥ −48

Just split the inequality into two simpler inequalities:

• −44 > −2x − 8 ⇒ −2x − 8 < - 44 and
• −2x − 8 ≥ −48

Correct choice is D