Inequalities Online Practice 6B Unit 5

Answer 1

1. Solve the inequality: 2x + 5 > 11.
Solution: 2x + 5 > 11
2x > 6
x > 3

2. Solve the inequality: -3x + 4 ≤ 10.
Solution: -3x + 4 ≤ 10
-3x ≤ 6
x ≥ -2

3. Solve the inequality: 8 - 4x < 12.
Solution: 8 - 4x < 12
-4x < 4
x > -1

4. Solve the inequality: 3(x + 2) ≥ 15.
Solution: 3(x + 2) ≥ 15
3x + 6 ≥ 15
3x ≥ 9
x ≥ 3

5. Solve the inequality: 7 - 2x < 1.
Solution: 7 - 2x < 1
-2x < -6
x > 3

6. Solve the inequality: -5 + 3x ≥ 7.
Solution: -5 + 3x ≥ 7
3x ≥ 12
x ≥ 4

7. Solve the compound inequality: 2x - 3 < 7 and 5x + 2 > 17.
Solution: 2x - 3 < 7
2x < 10
x < 5

5x + 2 > 17
5x > 15
x > 3

So, the solution to the compound inequality is 3 < x < 5.