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Solve the inequality 2x - 1 ≥ 3. What is the solution set?

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Question: Solve the inequality 2x - 1 ≥ 3. What is the solution set?

Options:

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

Correct Answer: x ≥ 2

Solution: 

2x - 1 ≥ 3 => 2x ≥ 4 => x ≥ 2.

Solve the inequality 2x - 1 ≥ 3. What is the solution set?

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality 2x - 1 ≥ 3. What is the solution set?
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality: 2x - 1 ≥ 3.
  • Step 2: Add 1 to both sides of the inequality to isolate the term with x. This gives you: 2x - 1 + 1 ≥ 3 + 1.
  • Step 3: Simplify both sides. You get: 2x ≥ 4.
  • Step 4: Now, divide both sides by 2 to solve for x. This gives you: 2x / 2 ≥ 4 / 2.
  • Step 5: Simplify again. You get: x ≥ 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying operations to isolate the variable on one side of the inequality.
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