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Solve the inequality 3x + 2 > 5x - 4. What is the solution?
Solve the inequality 3x + 2 > 5x - 4. What is the solution?
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Practice Questions
1 question
Q1
Solve the inequality 3x + 2 > 5x - 4. What is the solution?
x < 3
x > 3
x < 2
x > 2
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3x + 2 > 5x - 4 => 2 > 2x => x < 1.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality 3x + 2 > 5x - 4. What is the solution?
Solution:
3x + 2 > 5x - 4 => 2 > 2x => x < 1.
Steps: 8
Show Steps
Step 1: Start with the inequality: 3x + 2 > 5x - 4.
Step 2: To isolate x, first subtract 3x from both sides: 2 > 5x - 3x - 4.
Step 3: This simplifies to: 2 > 2x - 4.
Step 4: Next, add 4 to both sides to get: 2 + 4 > 2x.
Step 5: This simplifies to: 6 > 2x.
Step 6: Now, divide both sides by 2: 6 / 2 > 2x / 2.
Step 7: This simplifies to: 3 > x.
Step 8: Finally, we can write this as: x < 3.
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