Question

Graph the solution to this inequality on the number line -2<2x+6<20

Answer 1

In the attachment.

Explanation:

`-2<2x+6<20\qquad\text{subtract 6 from all sides}\\\\-2-6<2x+6-6<20-6\\\\-8<2x<14\qquad\text{divide both sides by 2}\\\\(-8)/(2)<(2x)/(2)<(14)/(2)\\\\-4< x<7`

≤, ≥ - solid circle

<, > - open circle

≤, < - draw a line to the left

≥, > - draw a line to the right