Question

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

Answer 1

To find the solution set of the inequality −3(4k+1)<15, let's first simplify the expression:

−3(4k+1)<15
-12k - 3 < 15

Now, let's isolate the variable on one side by adding 3 to both sides of the inequality:

-12k < 18

Finally, divide both sides of the inequality by -12 (remembering to reverse the inequality sign since we are dividing by a negative number):

k > 18/(-12)
k > -3/2

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