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Solve the inequality: 4x - 7 > 2x + 5.

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Question: Solve the inequality: 4x - 7 > 2x + 5.

Options:

  1. x > 6
  2. x < 6
  3. x > 5
  4. x < 5

Correct Answer: x > 6

Solution:

Step 1: Subtract 2x from both sides: 2x - 7 > 5. Step 2: Add 7: 2x > 12. Step 3: Divide by 2: x > 6.

Solve the inequality: 4x - 7 > 2x + 5.

Practice Questions

Q1
Solve the inequality: 4x - 7 > 2x + 5.
  1. x > 6
  2. x < 6
  3. x > 5
  4. x < 5

Questions & Step-by-Step Solutions

Solve the inequality: 4x - 7 > 2x + 5.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, and division on both sides of an inequality.
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