Question

If x = -4, which inequality is true?

A. -8 - 4 > -24
B. 7 - 3x < 19
C. -4 - 5x < 16
D. 8 > 11

Answer 1

To determine which inequality is true when x = -4, you substitute -4 into each inequality and check if the inequality is satisfied. The correct inequality is -4 - 5x < 16

Step-by-step explanation:

To determine which inequality is true when x = -4, we substitute -4 into each inequality and check whether the inequality is satisfied.

1. For option A, substituting x = -4 gives -8 - 4 > -24, which is true since -12 > -24.
2. For option B, substituting x = -4 gives 7 - 3(-4) < 19, which is true since 19 < 19 is false.
3. For option C, substituting x = -4 gives -4 - 5(-4) < 16, which is true since -4 + 20 < 16.
4. For option D, substituting x = -4 gives 8 > 11, which is false.

Therefore, the correct inequality is option C: -4 - 5x < 16.