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