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If 5x - 2 > 3x + 6, what is the value of x?

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Question: If 5x - 2 > 3x + 6, what is the value of x?

Options:

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

Correct Answer: x > 4

Solution: 

Step 1: Subtract 3x from both sides: 2x - 2 > 6. Step 2: Add 2: 2x > 8. Step 3: Divide by 2: x > 4.

If 5x - 2 > 3x + 6, what is the value of x?

Practice Questions

Q1
If 5x - 2 > 3x + 6, what is the value of x?
  1. x < 4
  2. x > 4
  3. x = 4
  4. x = 3

Questions & Step-by-Step Solutions

If 5x - 2 > 3x + 6, what is the value of x?
  • Step 1: Start with the inequality 5x - 2 > 3x + 6.
  • Step 2: Subtract 3x from both sides to get 5x - 3x - 2 > 6.
  • Step 3: This simplifies to 2x - 2 > 6.
  • Step 4: Now, add 2 to both sides to eliminate -2: 2x - 2 + 2 > 6 + 2.
  • 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 inequalities.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, and division on both sides of an equation.
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