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What is the solution to the inequality: 3(x + 2) ≤ 2(x + 5)?

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Question: What is the solution to the inequality: 3(x + 2) ≤ 2(x + 5)?

Options:

  1. x ≤ 1
  2. x ≥ 1
  3. x ≤ -1
  4. x ≥ -1

Correct Answer: x ≤ 1

Solution: 

Step 1: Distribute: 3x + 6 ≤ 2x + 10. Step 2: Subtract 2x: x + 6 ≤ 10. Step 3: Subtract 6: x ≤ 4.

What is the solution to the inequality: 3(x + 2) ≤ 2(x + 5)?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to the inequality: 3(x + 2) ≤ 2(x + 5)?
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