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Solve the inequality 3(x - 1) < 2(x + 2). What is the solution?
Solve the inequality 3(x - 1) < 2(x + 2). What is the solution?
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Practice Questions
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Q1
Solve the inequality 3(x - 1) < 2(x + 2). What is the solution?
x < 5
x > 5
x < 4
x > 4
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3(x - 1) < 2(x + 2) => 3x - 3 < 2x + 4 => x < 7
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality 3(x - 1) < 2(x + 2). What is the solution?
Solution:
3(x - 1) < 2(x + 2) => 3x - 3 < 2x + 4 => x < 7
Steps: 8
Show Steps
Step 1: Start with the inequality: 3(x - 1) < 2(x + 2).
Step 2: Distribute the 3 on the left side: 3 * x - 3 * 1 = 3x - 3.
Step 3: Distribute the 2 on the right side: 2 * x + 2 * 2 = 2x + 4.
Step 4: Now the inequality looks like this: 3x - 3 < 2x + 4.
Step 5: To isolate x, subtract 2x from both sides: 3x - 2x - 3 < 4.
Step 6: This simplifies to: x - 3 < 4.
Step 7: Now, add 3 to both sides to solve for x: x < 4 + 3.
Step 8: This gives us the final solution: x < 7.
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