1. Solve the inequality: 3x + 7 > 16
Subtract 7 from both sides: 3x > 9
Divide by 3: x > 3
Therefore, the solution is x > 3.
2. Solve the inequality: 4y - 5 ≤ 11
Add 5 to both sides: 4y ≤ 16
Divide by 4: y ≤ 4
Therefore, the solution is y ≤ 4.
3. Solve the inequality: 2(x - 3) ≥ 8
Distribute the 2: 2x - 6 ≥ 8
Add 6 to both sides: 2x ≥ 14
Divide by 2: x ≥ 7
Therefore, the solution is x ≥ 7.
4. Solve the inequality: -5p + 4 < -11
Subtract 4 from both sides: -5p < -15
Divide by -5 (remember to flip the inequality sign): p > 3
Therefore, the solution is p > 3.
5. Solve the inequality: 2/3m + 5/3 > 4
Subtract 5/3 from both sides: 2/3m > 1
Multiply by 3/2: m > 3/2
Therefore, the solution is m > 3/2 or m > 1.5.
QUIZ 5.11 Solving One-Step Inequalities
1 answer