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What is the solution to the inequality: 2(x - 1) < 3(x + 2)?

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Question: What is the solution to the inequality: 2(x - 1) < 3(x + 2)?

Options:

  1. x < 7
  2. x > 7
  3. x < 5
  4. x > 5

Correct Answer: x < 5

Solution: 

Step 1: Distribute: 2x - 2 < 3x + 6. Step 2: Subtract 2x: -2 < x + 6. Step 3: Subtract 6: -8 < x, or x > -8.

What is the solution to the inequality: 2(x - 1) < 3(x + 2)?

Practice Questions

Q1
What is the solution to the inequality: 2(x - 1) < 3(x + 2)?
  1. x < 7
  2. x > 7
  3. x < 5
  4. x > 5

Questions & Step-by-Step Solutions

What is the solution to the inequality: 2(x - 1) < 3(x + 2)?
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