5.11 Solving One-Step Inequalities QUIZ

Answer 1

1. Solve the inequality: x + 7 > 15

Subtract 7 from both sides:
x > 8

Answer: x > 8

2. Solve the inequality: 2y - 4 < 10

Add 4 to both sides, then divide by 2:
2y < 14
y < 7

Answer: y < 7

3. Solve the inequality: 3(4 - x) ≥ 15

Distribute the 3:
12 - 3x ≥ 15

Subtract 12 from both sides, then divide by -3 (flip the inequality sign since dividing by a negative number):
-3x ≥ 3
x ≤ -1

Answer: x ≤ -1

4. Solve the inequality: -2z + 5 ≥ -4

Add 4 to both sides, then divide by -2:
-2z ≥ -9
z ≤ 4.5

Answer: z ≤ 4.5

5. Solve the inequality: 6t/3 < 9

Multiply both sides by 3:
2(6t) < 27
12t < 27

Divide by 12:
t < 2.25

Answer: t < 2.25