Question

Question 5(Multiple Choice Worth 2 points) (Two-Step Linear Inequalities MC) Solve for n. −2(n − 3.5) > 15 n > −4 n < −4 n > 4 n < 4

Answer 1

To solve the inequality −2(n − 3.5) > 15, we first distribute the −2 and then isolate n by subtracting 7 from both sides and dividing by −2, yielding the solution n < −4. The correct answer is option: n < −4

Step-by-step explanation:

The question solve for n in the inequality −2(n − 3.5) > 15 involves two steps to isolate the variable n.

We will start by distributing the −2 into the parenthesis:

−2 × n + −2 × (−3.5) > 15

−2n + 7 > 15

From here, we can subtract 7 from both sides to get:

−2n > 15 − 7

−2n > 8

Then, we divide by −2 to solve for n:

n < −4

The correct answer is n < −4, as dividing by a negative number reverses the inequality sign.