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Solve the inequality 7 - 3x > 1. What is the solution?

Practice Questions

Q1
Solve the inequality 7 - 3x > 1. What is the solution?
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Solve the inequality 7 - 3x > 1. What is the solution?
Correct Answer: x > 2
  • Step 1: Start with the inequality: 7 - 3x > 1.
  • Step 2: Subtract 7 from both sides to isolate the term with x: -3x > 1 - 7.
  • Step 3: Simplify the right side: -3x > -6.
  • Step 4: Now, divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign: x < 2.
  • Step 5: The solution to the inequality is x < 2.
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