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

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Question: What is the solution to the inequality: 2(x - 1) ≥ 3x + 4?

Options:

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

Correct Answer: x ≤ -2

Solution:

Step 1: Distribute: 2x - 2 ≥ 3x + 4. Step 2: Subtract 2x from both sides: -2 ≥ x + 4. Step 3: Subtract 4: -6 ≥ x. Solution: x ≤ -6.

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

Practice Questions

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

Questions & Step-by-Step Solutions

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