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.

Answer 1

option (d) is correct.

An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8

Explanation:

Given a compound inequality −44 > −2x − 8 ≥ −8

We have to write an equivalent form of compound inequality.

Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.

Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.

For given compound inequality, −44 > −2x − 8 ≥ −8

we have

Left side of inequality as −44 > −2x − 8

and right side of inequality as −2x − 8 ≥ −8

Thus, option (d) is correct.

Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8

Answer 2

The equivalent form of the compound inequality −44 > −2x − 8 ≥ −8 is
D. D. −2x − 8 < −44 and −2x − 8 ≥ −8. In this case, we just have to divide the inequality into two parts such that two separate expressions are distinguished. This is a bit tricky among the choices.