Question

Solve and graph each of the following inequalities for x.

2x + 4 > 8

2x - 3 < 5

Answer 1

2x + 4 > 8

Step 1: Subtract 4 from both sides.

2x + 4 − 4 > 8 − 4

2x > 4

Step 2: Divide both sides by 2.

2x/2 > 4/2

x > 2

2x − 3 < 5

Step 1: Add 3 to both sides.

2x − 3 + 3 < 5 + 3

2x < 8

Step 2: Divide both sides by 2.

2x/2 < 8/2

x < 4