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

1 answer

To solve the inequality, we will isolate the variable k by performing the necessary operations.

−3(4k + 1) < 15

Expanding the left side:

-12k - 3 < 15

Adding 3 to both sides:

-12k < 18

Dividing both sides by -12 and reversing the inequality:

k > -18/12

Simplifying the fraction:

k > -3/2

Therefore, any value of k greater than -3/2 falls in the solution set of the inequality.