Question

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

A. −2x − 8 > −44 and −2x − 8 ≥ −8

B. −2x > −44 and −8 ≥ −8

C. −2x − 8 < −44 and −2x − 8 ≤ −8

D. −2x − 8 < −44 and −2x − 8 ≥ −8. Plz help.

Answer 1

actually D is the correct answer

Answer 2

Well you could analyze each choice. For (A), it says that -2x-8 is greater than -44, but in your original inequality it clearly says "-44>-2x-8" so -44 must be greater than -2x-8. So you know (A) is wrong. For (B), well -44>-2x-8 reduces to -36>-2x so that says -2x is less than -36. If -2x is less than -36, it certainly can't be greater than -44, so (B) is wrong. For (C), it says -44 is greater than -2x-8, which is what your original inequality says, so that's right. It also says that -8 is greater than or equal to -2x-8 but your original inequality states that -8 is less than or equal to -2x-8, so that's wrong. So (C) is only half-right. That leaves (D), which states that -44 is greater than -2x-8 and that -8 is less than or equal to -2x-8, which is exactly what your original inequality states. So, as @nholley said, the correct answer is indeed (D).

Answer 3

@Captain_America_Army message me