Question

Which of the following values for b makes the inequality true?

-17-5b ≤ 43
-13.5
-13
-12

Answer 1

[AI-generated answer — Bot GPT 3.5]

In order to find the values of b that make the inequality true, we need to solve the inequality for b.

-17 - 5b ≤ 43

To isolate the variable, we first subtract -17 from both sides:

-17 - 17 - 5b ≤ 43 - 17

-34 - 5b ≤ 26

Next, we divide both sides by -5. Remember that when we divide or multiply an inequality by a negative number, we must flip the direction of the inequality sign.

(-34)/-5 - (5b)/-5 ≥ (26)/-5

6.8 + b ≥ -5.2

Now, we have an equation in terms of b:

b ≥ -12

Therefore, the value for b that makes the inequality true is -12.