Question

10 multiple choice 1 point solve: $x - 26>35$ $x>61$ $x>9$ $x < - 61$ $x < 9$ 11 multiple choice 1 point solve: $-1 < 3x + 5leq14$

Explanation:

Step1: Solve the first inequality

Add 26 to both sides of $x - 26>35$.
$x-26 + 26>35 + 26$
$x>61$

Step2: Solve the second inequality

First, subtract 5 from all parts of $-1<3x + 5\leq14$.
$-1-5<3x+5 - 5\leq14 - 5$
$-6<3x\leq9$
Then divide all parts by 3.
$\frac{-6}{3}<\frac{3x}{3}\leq\frac{9}{3}$
$-2

Answer:

1. A. $x > 61$
2. The solution of $-1 < 3x + 5\leq14$ is $-2