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What is the solution to the inequality 7 - 3x < 1?

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Question: What is the solution to the inequality 7 - 3x < 1?

Options:

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

Correct Answer: x > 2

Solution: 

7 - 3x < 1 => -3x < -6 => x > 2.

What is the solution to the inequality 7 - 3x < 1?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to the inequality 7 - 3x < 1?
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: Divide both sides by -3. Remember, when you divide by a negative number, you flip the inequality sign: x > 2.
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