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What is the solution set for the inequality 7x - 5 > 2?

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Question: What is the solution set for the inequality 7x - 5 > 2?

Options:

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

Correct Answer: x > 1

Solution: 

7x - 5 > 2 => 7x > 7 => x > 1.

What is the solution set for the inequality 7x - 5 > 2?

Practice Questions

Q1
What is the solution set for the inequality 7x - 5 > 2?
  1. x > 1
  2. x < 1
  3. x > 2
  4. x < 2

Questions & Step-by-Step Solutions

What is the solution set for the inequality 7x - 5 > 2?
Correct Answer: x > 1
  • Step 1: Start with the inequality 7x - 5 > 2.
  • Step 2: Add 5 to both sides of the inequality to isolate the term with x. This gives you 7x > 2 + 5.
  • Step 3: Simplify the right side. 2 + 5 equals 7, so now you have 7x > 7.
  • Step 4: Divide both sides of the inequality by 7 to solve for x. This gives you x > 7 / 7.
  • Step 5: Simplify the right side. 7 / 7 equals 1, so now you have x > 1.
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