Which of the following values for b makes the inequality −32.5−6b≥48.5 true? Responses −13 negative 13 −12.5 negative 12.5 −12 negative 12 −13.5 negative 13.5

Answer 1

The inequality is: -32.5 - 6b ≥ 48.5.

To make this inequality true, we need to find a value for b that satisfies the inequality.

Adding 32.5 to both sides, we have: -6b ≥ 81.

Now, divide both sides by -6 (note that when dividing/multiplying an inequality by a negative number, we need to flip the inequality sign):
b ≤ -81/6 = -13.5.

Thus, the correct answer is negative 13.5.