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Solve the inequality 4x - 7 > 9.

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Question: Solve the inequality 4x - 7 > 9.

Options:

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

Correct Answer: x > 3

Solution: 

4x - 7 > 9 => 4x > 16 => x > 4.

Solve the inequality 4x - 7 > 9.

Practice Questions

Q1
Solve the inequality 4x - 7 > 9.
  1. x > 4
  2. x < 4
  3. x > 3
  4. x < 3

Questions & Step-by-Step Solutions

Solve the inequality 4x - 7 > 9.
Correct Answer: x > 4
  • Step 1: Start with the inequality: 4x - 7 > 9.
  • Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 4x > 9 + 7.
  • Step 3: Simplify the right side: 4x > 16.
  • Step 4: Now, divide both sides by 4 to solve for x. This gives you: x > 16 / 4.
  • Step 5: Simplify the division: x > 4.
  • 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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