Question

Select one answer choice per blank to complete the statement below. (2 points) The inequality that represents the solution to x + 2 5 -7x + 18 18 and the graph that #2 represents its solution is #3 12** HI! H

Answer 1

The given inequality is

$x+2\leq-7x+18$

Let's solve for x.

$\begin{gathered} x+7x\leq18-2 \\ 8x\leq16 \\ x\leq\frac{16}{8} \\ x\leq2 \end{gathered}$

Given that the inequality is "less than or equal to", the interval mos include 2.

Hence, the answer to the first blank is D, and the graph is C.