Which inequality is true when x = -8?
A.
15x > 120
B.
15x ≥ 120
C.
-15x < 120
D.
-15x ≤ 120
D, a negative times a negative is a positive.
15* 8 = 120
To determine which inequality is true when x = -8, we can substitute -8 into each option and see which one gives us a true statement.
A. 15x > 120
Substituting x = -8: 15(-8) > 120
-120 > 120
This is false.
B. 15x ≥ 120
Substituting x = -8: 15(-8) ≥ 120
-120 ≥ 120
This is false.
C. -15x < 120
Substituting x = -8: -15(-8) < 120
120 < 120
This is false.
D. -15x ≤ 120
Substituting x = -8: -15(-8) ≤ 120
120 ≤ 120
This is true.
Therefore, the correct inequality when x = -8 is option D: -15x ≤ 120.
To determine which inequality is true when x = -8, we can substitute -8 into each inequality and see which one results in a true statement.
Let's evaluate each option:
A. 15x > 120
Substituting x = -8: 15(-8) > 120
Simplifying: -120 > 120
This is a false statement.
B. 15x ≥ 120
Substituting x = -8: 15(-8) ≥ 120
Simplifying: -120 ≥ 120
This is also a false statement.
C. -15x < 120
Substituting x = -8: -15(-8) < 120
Simplifying: 120 < 120
This is a false statement.
D. -15x ≤ 120
Substituting x = -8: -15(-8) ≤ 120
Simplifying: 120 ≤ 120
This is a true statement.
Therefore, the correct inequality when x = -8 is:
D. -15x ≤ 120