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

Question

-3/2
-4
-5
-1

Answer 1

To solve the inequality, let's simplify the left side first:

-3(4k+1) < 15
-12k - 3< 15

Next, let's isolate the variable by adding 3 to both sides:

-12k < 18

Now, divide both sides of the inequality by -12. Since we are dividing by a negative number, the inequality sign flips:

k > -18/12

Simplifying further:

k > -3/2

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