Answer: C) -5 - 3x > 9
Explanation:
If x = -5, we can substitute this value into each of the inequalities to determine which one is true. Let's go through each response option:
A) -3 - 5x < -10:
Substituting x = -5, we get -3 - 5(-5) < -10.
This simplifies to -3 + 25 < -10, which becomes 22 < -10.
This statement is false because 22 is not less than -10.
B) 1 - 2x < 8:
Substituting x = -5, we get 1 - 2(-5) < 8.
This simplifies to 1 + 10 < 8, which becomes 11 < 8.
This statement is also false because 11 is not less than 8.
C) -5 - 3x > 9:
Substituting x = -5, we get -5 - 3(-5) > 9.
This simplifies to -5 + 15 > 9, which becomes 10 > 9.
This statement is true because 10 is greater than 9.
D) 2 - x > 11:
Substituting x = -5, we get 2 - (-5) > 11.
This simplifies to 2 + 5 > 11, which becomes 7 > 11.
This statement is false because 7 is not greater than 11.
Therefore, the inequality that is true when x = -5 is C) -5 - 3x > 9.
I hope this helps :)