Question

Solve each inequality and graph it's solution set on a number line.
1. 0<2x-10<20
2. x+7<7 OR 5+2x>8

Pls Help 40 Points ​

Answer 1

Hey there!

1) 0<2x−10<20

0+10<2x−10+10<20+10(Add 10 to all parts)

10<2x<30

10/2 <2x/2 < 30/2 (Divide all parts by 2)

5<x<15

Answer:

5<x<15

Graph in first image

2) x+7<7

Step 1: Subtract 7 from both sides.

x+7−7<7−7

x<0

OR

5+2x>8

Step 1: Simplify both sides of the inequality.

2x+5>8

Step 2: Subtract 5 from both sides.

2x+5−5>8−5

2x>3

Step 3: Divide both sides by 2.

2x/2 > 3/2

x > 3/2