Quiz 5.11 solving one step inequalities

1 answer

1. Solve the inequality: 4x + 3 ≥ 15
Subtract 3 from both sides: 4x ≥ 12
Divide by 4: x ≥ 3

2. Solve the inequality: 2x - 5 < 7
Add 5 to both sides: 2x < 12
Divide by 2: x < 6

3. Solve the inequality: 3(2x + 4) > 18
Distribute the 3: 6x + 12 > 18
Subtract 12 from both sides: 6x > 6
Divide by 6: x > 1

4. Solve the inequality: -2x ≤ 10
Divide by -2 (remember to flip the inequality sign): x ≥ -5

5. Solve the inequality: 4x/2 ≥ 6
Divide by 2: 2x ≥ 6
Divide by 2: x ≥ 3

6. Solve the inequality: -3x + 9 < 15
Subtract 9 from both sides: -3x < 6
Divide by -3 (remember to flip the inequality sign): x > -2