Question

Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18.

A. x ≤ –9
B. x ≤ –20
C. x ≤ –5
D. x ≤ –37

Answer 1

`2(x+1)-(-x+5)\leq-18\\use\ the\ distributive\ property:\ a(b+c)=ab+ac\\\\2x+2-(-x)-5\leq-18\\\\2x+2+x-5\leq-18\\\\(2x+x)+(2-5)\leq-18\\\\3x-3\leq-18\ \ \ |+3\\\\3x\leq-15\ \ \ |:3\\\\x\leq-5\to C.`

Answer 2

2(x + 1) – (–x + 5) ≤ –18

2x + 2 + x - 5 ≤ –18

3x - 3 ≤ –18

3x ≤ –15

x ≤ –5

Answer

C. x ≤ –5