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Find the solution set for the inequality 2x - 4 > 0.

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Question: Find the solution set for the inequality 2x - 4 > 0.

Options:

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

Correct Answer: x > 2

Solution: 

2x - 4 > 0 => 2x > 4 => x > 2.

Find the solution set for the inequality 2x - 4 > 0.

Practice Questions

Q1
Find the solution set for the inequality 2x - 4 > 0.
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Find the solution set for the inequality 2x - 4 > 0.
Correct Answer: x > 2
  • Step 1: Start with the inequality: 2x - 4 > 0.
  • Step 2: Add 4 to both sides of the inequality to isolate the term with x: 2x - 4 + 4 > 0 + 4.
  • Step 3: Simplify the left side: 2x > 4.
  • Step 4: Now, divide both sides of the inequality by 2 to solve for x: 2x / 2 > 4 / 2.
  • Step 5: Simplify the inequality: x > 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying algebraic operations to isolate the variable.
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