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
−1
negative 1
−4
negative 4
−5
To solve the inequality, we can start by isolating the variable on one side of the inequality sign.
−3(4k+1) < 15
Distribute -3 to both terms inside the parentheses:
-12k - 3 < 15
Next, add 3 to both sides of the inequality:
-12k < 18
To isolate the variable, divide both sides of the inequality by -12 (since we are dividing by a negative number, the inequality sign will flip):
k > -18/12
Simplifying the right side of the inequality:
k > -3/2
Therefore, the values that fall in the solution set of the inequality are any real number greater than -3/2.
Answer: Start Fraction negative 3 over 2 End Fraction