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Solve the inequality 5x - 7 > 3x + 1.

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Question: Solve the inequality 5x - 7 > 3x + 1.

Options:

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

Correct Answer: x > 2

Solution: 

5x - 7 > 3x + 1 => 2x > 8 => x > 4.

Solve the inequality 5x - 7 > 3x + 1.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality 5x - 7 > 3x + 1.
Correct Answer: x > 4
  • Step 1: Start with the inequality: 5x - 7 > 3x + 1.
  • Step 2: To get all the x terms on one side, subtract 3x from both sides: 5x - 3x - 7 > 1.
  • Step 3: This simplifies to: 2x - 7 > 1.
  • Step 4: Next, add 7 to both sides to isolate the term with x: 2x - 7 + 7 > 1 + 7.
  • Step 5: This simplifies to: 2x > 8.
  • Step 6: Finally, divide both sides by 2 to solve for x: 2x / 2 > 8 / 2.
  • Step 7: This gives us: x > 4.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in isolating variables and performing operations on both sides of the inequality.
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