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Solve the inequality 2x - 7 ≥ 3. What is the solution?

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Question: Solve the inequality 2x - 7 ≥ 3. What is the solution?

Options:

  1. x < 5
  2. x > 5
  3. x ≤ 5
  4. x ≥ 5

Correct Answer: x ≥ 5

Solution: 

2x - 7 ≥ 3 => 2x ≥ 10 => x ≥ 5.

Solve the inequality 2x - 7 ≥ 3. What is the solution?

Practice Questions

Q1
Solve the inequality 2x - 7 ≥ 3. What is the solution?
  1. x < 5
  2. x > 5
  3. x ≤ 5
  4. x ≥ 5

Questions & Step-by-Step Solutions

Solve the inequality 2x - 7 ≥ 3. What is the solution?
Correct Answer: x ≥ 5
  • Step 1: Start with the inequality: 2x - 7 ≥ 3.
  • Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 2x - 7 + 7 ≥ 3 + 7.
  • Step 3: Simplify both sides. The left side becomes 2x and the right side becomes 10. So now you have: 2x ≥ 10.
  • Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you: 2x / 2 ≥ 10 / 2.
  • Step 5: Simplify again. The left side becomes x and the right side becomes 5. So now you have: x ≥ 5.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying basic algebraic operations to both sides of the inequality.
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