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Which of the following represents the solution to the inequality 4 - x < 1?

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Question: Which of the following represents the solution to the inequality 4 - x < 1?

Options:

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

Correct Answer: x > 3

Solution: 

4 - x < 1 => -x < -3 => x > 3

Which of the following represents the solution to the inequality 4 - x < 1?

Practice Questions

Q1
Which of the following represents the solution to the inequality 4 - x < 1?
  1. x > 3
  2. x < 3
  3. x > 4
  4. x < 4

Questions & Step-by-Step Solutions

Which of the following represents the solution to the inequality 4 - x < 1?
  • Step 1: Start with the inequality 4 - x < 1.
  • Step 2: To isolate -x, subtract 4 from both sides: 4 - x - 4 < 1 - 4.
  • Step 3: This simplifies to -x < -3.
  • Step 4: Now, to solve for x, multiply both sides by -1. Remember, when you multiply or divide by a negative number, you must flip the inequality sign.
  • Step 5: This gives you x > 3.
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