Which of the following values for b makes the inequality -32.5 - 6b _> 48.5 true?

Answer 1

To determine which values for b make the inequality -32.5 - 6b ≥ 48.5 true, we can solve the inequality for b.

Starting with:
-32.5 - 6b ≥ 48.5

Add 32.5 to both sides of the inequality:
-6b ≥ 81

Now, divide both sides of the inequality by -6. Since we are dividing by a negative number, we must reverse the inequality sign:
b ≤ -81/6

Simplifying the right side:
b ≤ -13.5

Therefore, any value of b less than or equal to -13.5 will make the inequality true.