Solution Sets of Equations & Inequalities Quick Check

Question

5 of 55 of 5 Items

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

−5
negative 5

−32
Start Fraction negative 3 over 2 End Fraction

−4
negative 4

−1

Answer 1

To find the value that falls in the solution set of the inequality −3(4k+1)<15, we can first simplify the inequality:

−3(4k+1) < 15
−12k − 3 < 15

Next, we can isolate the variable by subtracting 3 from both sides:

−12k < 18

Finally, we can solve for k by dividing both sides by -12. Remember to reverse the inequality when dividing by a negative number:

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

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