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What is the solution to the inequality 5x + 3 > 2x + 12?

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Question: What is the solution to the inequality 5x + 3 > 2x + 12?

Options:

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

Correct Answer: x > 3

Solution:

Subtract 2x from both sides: 3x + 3 > 12. Then subtract 3: 3x > 9. Finally, divide by 3: x > 3.

What is the solution to the inequality 5x + 3 > 2x + 12?

Practice Questions

Q1
What is the solution to the inequality 5x + 3 > 2x + 12?
  1. x < 3
  2. x > 3
  3. x < -3
  4. x > -3

Questions & Step-by-Step Solutions

What is the solution to the inequality 5x + 3 > 2x + 12?
  • Step 1: Start with the inequality 5x + 3 > 2x + 12.
  • Step 2: Subtract 2x from both sides to get 5x - 2x + 3 > 12.
  • Step 3: Simplify the left side: 3x + 3 > 12.
  • Step 4: Now, subtract 3 from both sides: 3x > 12 - 3.
  • Step 5: Simplify the right side: 3x > 9.
  • Step 6: Finally, divide both sides by 3: x > 9 / 3.
  • Step 7: Simplify the right side: x > 3.
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