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

Write it like this:
\[-22>-5x-7=-5x-7\geq3\]
then cut it off at the = and put an 'and':
\[-22>-5x-7 \text{ and } 5x-7\geq3\]
As an aside, your equation has no solutions.