Question

What value falls in the solution set of the inequality −3(4k+1)<15 ?(1 point)Responses−5negative 5−1negative 1−4negative 4−32

Answer 1

To solve the inequality, we can start by simplifying it:

−3(4k+1) < 15

Multiplying through the parentheses:

-12k - 3 < 15

Next, we can add 3 to both sides of the inequality:

-12k < 18

Finally, dividing both sides by -12, remembering to flip the inequality sign because we are dividing by a negative number:

k > -18/12

Simplifying the fraction:

k > -3/2

So, any value of k that is greater than -3/2 falls in the solution set of the inequality. Therefore, the answer is positive 1.