What value falls in the solution set of the inequality −3(4k+1)<15?(1 point)

Question

Responses

−4

−5

−3/2

−1

Answer 1

To solve the inequality, we will isolate the variable k.

−3(4k+1) < 15

Distribute -3 to the terms inside the parentheses:
-12k - 3 < 15

Add 3 to both sides to cancel out the -3 on the left side:
-12k < 18

Divide both sides by -12. Since we are dividing by a negative number, we must reverse the inequality sign:
k > -18/12

Simplify the fraction:
k > -3/2

Therefore, the value that falls in the solution set of the inequality is -3/2.
The correct answer is −3/2.