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Determine the solution set for the inequality 3x - 4 < 2x + 5.
Determine the solution set for the inequality 3x - 4 < 2x + 5.
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Practice Questions
1 question
Q1
Determine the solution set for the inequality 3x - 4 < 2x + 5.
x < 9
x > 9
x ≤ 9
x ≥ 9
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3x - 4 < 2x + 5 => x < 9.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution set for the inequality 3x - 4 < 2x + 5.
Solution:
3x - 4 < 2x + 5 => x < 9.
Steps: 5
Show Steps
Step 1: Start with the inequality: 3x - 4 < 2x + 5.
Step 2: To isolate x, first subtract 2x from both sides: 3x - 2x - 4 < 5.
Step 3: This simplifies to: x - 4 < 5.
Step 4: Next, add 4 to both sides to isolate x: x < 5 + 4.
Step 5: This simplifies to: x < 9.
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