What value falls in the solution set of the inequality −3(4k+1)<15 ?(1 point)
Responses
−32
Start Fraction negative 3 over 2 End Fraction
−4
negative 4
−5
negative 5
−1
To solve this inequality, we need to isolate the variable on one side.
First, distribute the -3 to the terms inside the parentheses:
-3(4k + 1) < 15
-12k - 3 < 15
Next, add 3 to both sides to cancel out the -3:
-12k - 3 + 3 < 15 + 3
-12k < 18
Finally, divide both sides by -12, remembering to flip the inequality sign when dividing by a negative number:
k > 18 / -12
Simplifying, we get:
k > -3/2
Therefore, the value that falls in the solution set of the inequality is Start Fraction negative 3 over 2 End Fraction.