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Solve the inequality 3x + 2 > 5x - 4. What is the solution?

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Question: Solve the inequality 3x + 2 > 5x - 4. What is the solution?

Options:

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

Correct Answer: x > 3

Solution: 

3x + 2 > 5x - 4 => 2 > 2x => x < 1.

Solve the inequality 3x + 2 > 5x - 4. What is the solution?

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality 3x + 2 > 5x - 4. What is the solution?
Correct Answer: x < 1
  • Step 1: Start with the inequality: 3x + 2 > 5x - 4.
  • Step 2: To isolate x, first subtract 3x from both sides: 2 > 5x - 3x - 4.
  • Step 3: This simplifies to: 2 > 2x - 4.
  • Step 4: Next, add 4 to both sides to get: 2 + 4 > 2x.
  • Step 5: This simplifies to: 6 > 2x.
  • Step 6: Now, divide both sides by 2: 6 / 2 > 2x / 2.
  • Step 7: This simplifies to: 3 > x.
  • Step 8: Finally, we can write this as: x < 3.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables.
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