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Solve the inequality 4x + 5 > 3x + 10. What is the solution?

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Question: Solve the inequality 4x + 5 > 3x + 10. What is the solution?

Options:

  1. x < 5
  2. x > 5
  3. x < 10
  4. x > 10

Correct Answer: x > 5

Solution: 

4x + 5 > 3x + 10 => x > 5.

Solve the inequality 4x + 5 > 3x + 10. What is the solution?

Practice Questions

Q1
Solve the inequality 4x + 5 > 3x + 10. What is the solution?
  1. x < 5
  2. x > 5
  3. x < 10
  4. x > 10

Questions & Step-by-Step Solutions

Solve the inequality 4x + 5 > 3x + 10. What is the solution?
Correct Answer: x > 5
  • Step 1: Start with the inequality: 4x + 5 > 3x + 10.
  • Step 2: To isolate x, first subtract 3x from both sides: 4x - 3x + 5 > 10.
  • Step 3: This simplifies to: x + 5 > 10.
  • Step 4: Next, subtract 5 from both sides: x + 5 - 5 > 10 - 5.
  • Step 5: This simplifies to: x > 5.
  • Step 6: The solution to the inequality is x > 5.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in isolating the variable on one side of the inequality.
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