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What is the solution to the inequality 4x - 5 ≥ 3?

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Question: What is the solution to the inequality 4x - 5 ≥ 3?

Options:

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

Correct Answer: x ≥ 2

Solution: 

4x - 5 ≥ 3 => 4x ≥ 8 => x ≥ 2.

What is the solution to the inequality 4x - 5 ≥ 3?

Practice Questions

Q1
What is the solution to the inequality 4x - 5 ≥ 3?
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

What is the solution to the inequality 4x - 5 ≥ 3?
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality: 4x - 5 ≥ 3.
  • Step 2: Add 5 to both sides of the inequality to isolate the term with x. This gives you: 4x - 5 + 5 ≥ 3 + 5.
  • Step 3: Simplify both sides. You get: 4x ≥ 8.
  • Step 4: Now, divide both sides by 4 to solve for x. This gives you: x ≥ 8 / 4.
  • Step 5: Simplify the right side. You get: x ≥ 2.
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