Which of the following values for b makes the inequality true?
-17-5b ≤ 43
-13.5
-13
-12
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.