Solutions of inequalities practice

Answer 1

1. Solve the inequality: 4x + 7 < 19

Subtract 7 from both sides:
4x < 12

Divide by 4:
x < 3

2. Solve the inequality: 2(3x - 5) ≥ 10

Expand the inequality:
6x - 10 ≥ 10

Add 10 to both sides:
6x ≥ 20

Divide by 6:
x ≥ 3⅓

3. Solve the inequality: -2x/3 ≤ 4

Multiply both sides by 3:
-2x ≤ 12

Divide by -2 (since dividing by a negative number flips the inequality sign):
x ≥ -6

4. Solve the inequality: 5 - 2x > 13

Subtract 5 from both sides:
-2x > 8

Divide by -2 (don't forget to flip the inequality sign when dividing by a negative number):
x < -4

5. Solve the inequality: 2x + 10 < x - 5

Subtract x from both sides:
x + 10 < -5

Subtract 10 from both sides:
x < -15