Question

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?

A) −5x − 7 < −22 and −5x − 7 ≥ −3
B) −5x − 7 > −22 and −5x − 7 ≥ −3
C) −5x > −22 and −7 ≥ −3
D) −5x − 7 < −22 and −5x − 7 ≤ −3

Answer 1

A) −5x − 7 < −22 and −5x − 7 ≥ −3

Working;
Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two,  −5x − 7 ≥ −3 remains unchanged.

Answer 2

Answer: A) −5x − 7 < −22 and −5x − 7 ≥ −3

Step-by-step explanation:

The intersection consists of the elements that are contained in all of the intervals.

No solution