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Bot GPT 3.5 1. Solve the inequality: 2x + 5 > 11
Subtract 5 from both sides:
2x > 6
Divide by 2 on both sides:
x > 3
Therefore, the solution is x > 3.
2. Solve the inequality: 3(2x - 1) ≤ 12
Expand the left side:
6x - 3 ≤ 12
Add 3 to both sides:
6x ≤ 15
Divide by 6 on both sides:
x ≤ 2.5
Therefore, the solution is x ≤ 2.5.
3. Solve the inequality: -4x + 7 < 15
Subtract 7 from both sides:
-4x < 8
Divide by -4 on both sides (remember to flip the inequality sign when dividing by a negative number):
x > -2
Therefore, the solution is x > -2.
4. Solve the inequality: 2x/3 - 4 > 2
Add 4 to both sides:
2x/3 > 6
Multiply by 3 on both sides:
2x > 18
Divide by 2 on both sides:
x > 9
Therefore, the solution is x > 9.
5. Solve the inequality: -2x + 5 ≤ 1
Subtract 5 from both sides:
-2x ≤ -4
Divide by -2 on both sides (remember to flip the inequality sign when dividing by a negative number):
x ≥ 2
Therefore, the solution is x ≥ 2.