Question 31

-2

The solution of the compound inequality -10

A) x = 5

This option suggests that x can either be less than or equal to -2 or greater than or equal to 5. This interpretation contradicts the original compound inequality, which requires x to be within a specific range, not outside of it.

B) -4

While this option provides a range for x, it fails to accurately reflect the solution to the compound inequality. The original inequality confines x to a narrower range of -2 to 5, making this option incorrect.

C) -2 < x < 5

This choice states that x is strictly greater than -2 and strictly less than 5. However, the original compound inequality includes the endpoints, making this option incorrect.

D) -2

This option correctly describes the entire set of solutions of the compound inequality. It includes both endpoints, which aligns with the requirements of the original statement.

E) x >= -2

This option only partially describes the solution set, indicating that x can be greater than or equal to -2. However, it neglects the upper limit of the range, which is necessary for a complete solution.

Conclusion

The correct answer, -2