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What is the solution to the inequality 7x + 2 > 5x + 6?

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Question: What is the solution to the inequality 7x + 2 > 5x + 6?

Options:

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

Correct Answer: x > 2

Solution: 

7x + 2 > 5x + 6 => 2x > 4 => x > 2.

What is the solution to the inequality 7x + 2 > 5x + 6?

Practice Questions

Q1
What is the solution to the inequality 7x + 2 > 5x + 6?
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

What is the solution to the inequality 7x + 2 > 5x + 6?
Correct Answer: x > 2
  • Step 1: Start with the inequality: 7x + 2 > 5x + 6.
  • Step 2: Subtract 5x from both sides to get: 7x - 5x + 2 > 6.
  • Step 3: Simplify the left side: 2x + 2 > 6.
  • Step 4: Subtract 2 from both sides: 2x > 6 - 2.
  • Step 5: Simplify the right side: 2x > 4.
  • Step 6: Divide both sides by 2: x > 4 / 2.
  • Step 7: Simplify the right side: x > 2.
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