1. Solve the inequality: 2x + 5 < 11
Subtract 5 from both sides: 2x < 6
Divide by 2: x < 3
Therefore, the solution to the inequality is x < 3.
2. Solve the inequality: -3x + 7 > 4
Subtract 7 from both sides: -3x > -3
Divide by -3 (remember to flip the inequality when dividing by a negative number): x < 1
Therefore, the solution to the inequality is x < 1.
3. Solve the inequality: 4(2x - 3) > 16
Distribute and simplify: 8x - 12 > 16
Add 12 to both sides: 8x > 28
Divide by 8: x > 3.5
Therefore, the solution to the inequality is x > 3.5.
4. Solve the inequality: 5x + 3 ≤ 18
Subtract 3 from both sides: 5x ≤ 15
Divide by 5: x ≤ 3
Therefore, the solution to the inequality is x ≤ 3.
5. Solve the inequality: 2(x + 4) > 10
Distribute and simplify: 2x + 8 > 10
Subtract 8 from both sides: 2x > 2
Divide by 2: x > 1
Therefore, the solution to the inequality is x > 1.
Solutions of inequality practice test
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