Question

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 greater than or equal to −3?

A. −5x − 7 < −22 and −5x − 7 greater than or equal to −3

B. −5x − 7 > −22 and −5x − 7 greater than or equal to −3

C. −5x > −22 and −7 greater than or equal to −3

D. −5x − 7 < −22 and −5x − 7 less than or greater to −3

Answer 1

A.

Explanation:

-22 > -5x -7 ≥ -3 is the same that

-22 > -5x -7 and -5x - 7 ≥ -3 and this is equivalent to

-5x -7 < -22 and -5x -7 ≥ -3.

Answer 2

"−5x − 7 < −22 and −5x − 7 greater than or equal to −3" is the one among the following choices given in the question that is an equivalent form of the compound inequality −22 > −5x − 7 greater than or equal to −3. The correct option among all the options that are given in the question is option "A" or the first option.