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Solve the inequality 3x - 7 < 2x + 1.
Solve the inequality 3x - 7 < 2x + 1.
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Practice Questions
1 question
Q1
Solve the inequality 3x - 7 < 2x + 1.
x < 8
x > 8
x < 6
x > 6
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3x - 7 < 2x + 1 => x < 8.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality 3x - 7 < 2x + 1.
Solution:
3x - 7 < 2x + 1 => x < 8.
Steps: 5
Show Steps
Step 1: Start with the inequality: 3x - 7 < 2x + 1.
Step 2: To isolate x, first subtract 2x from both sides: 3x - 2x - 7 < 1.
Step 3: This simplifies to: x - 7 < 1.
Step 4: Next, add 7 to both sides to isolate x: x < 1 + 7.
Step 5: This simplifies to: x < 8.
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