What is the solution to the inequality 4 - x < 2?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to the inequality 4 - x < 2?
  • Step 1: Start with the inequality: 4 - x < 2.
  • Step 2: To isolate -x, subtract 4 from both sides: 4 - x - 4 < 2 - 4.
  • Step 3: This simplifies to: -x < -2.
  • Step 4: 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: -x * -1 > -2 * -1.
  • Step 5: This gives you: x > 2.
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