Solve in inequities by adding or subtracting practice

Answer 1

1. Solve the inequality: 2x + 3 < 7

First, subtract 3 from both sides of the inequality:
2x + 3 - 3 < 7 - 3
2x < 4

Then, divide both sides of the inequality by 2:
(2x)/2 < 4/2
x < 2

Therefore, the solution to the inequality is x < 2.

2. Solve the inequality: 5 - 3x > 8

First, subtract 5 from both sides of the inequality:
5 - 3x - 5 > 8 - 5
-3x > 3

Then, divide both sides of the inequality by -3 and reverse the inequality sign:
(-3x)/(-3) < 3/(-3)
x < -1

Therefore, the solution to the inequality is x < -1.