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Solve the inequality 2(x - 1) > 3. What is the solution?

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Question: Solve the inequality 2(x - 1) > 3. What is the solution?

Options:

  1. x > 5/2
  2. x < 5/2
  3. x > 1/2
  4. x < 1/2

Correct Answer: x > 5/2

Solution: 

2(x - 1) > 3 => x - 1 > 3/2 => x > 5/2.

Solve the inequality 2(x - 1) > 3. What is the solution?

Practice Questions

Q1
Solve the inequality 2(x - 1) > 3. What is the solution?
  1. x > 5/2
  2. x < 5/2
  3. x > 1/2
  4. x < 1/2

Questions & Step-by-Step Solutions

Solve the inequality 2(x - 1) > 3. What is the solution?
Correct Answer: x > 5/2
  • Step 1: Start with the inequality: 2(x - 1) > 3.
  • Step 2: Distribute the 2 on the left side: 2 * x - 2 > 3.
  • Step 3: Simplify the left side: 2x - 2 > 3.
  • Step 4: Add 2 to both sides to isolate the term with x: 2x > 3 + 2.
  • Step 5: Simplify the right side: 2x > 5.
  • Step 6: Divide both sides by 2 to solve for x: x > 5/2.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying algebraic operations correctly to both sides of the inequality.
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