Which of the following values for b makes the inequality true?
`-17-5b\le43`
To find the value of b that makes the inequality true, we need to solve the inequality for b.
First, let's isolate the variable by moving the constant term to the other side of the inequality:
-17 - 5b ≤ 43
Add 17 to both sides:
-5b ≤ 43 + 17
Simplify:
-5b ≤ 60
Now, let's solve for b by dividing both sides by -5. Remember that when we divide by a negative number, we need to reverse the inequality sign:
-5b/(-5) ≥ 60/(-5)
Simplify:
b ≥ -12
Therefore, any value of b that is greater than or equal to -12 will make the inequality true.