What is the solution to the inequality: 6 - x < 2?

Practice Questions

Q1
What is the solution to the inequality: 6 - x < 2?
  1. x > 4
  2. x < 4
  3. x > 6
  4. x < 6

Questions & Step-by-Step Solutions

What is the solution to the inequality: 6 - x < 2?
  • Step 1: Start with the inequality 6 - x < 2.
  • Step 2: Subtract 6 from both sides to isolate the term with x. This gives you -x < 2 - 6.
  • Step 3: Simplify the right side: -x < -4.
  • Step 4: To solve for x, multiply both sides by -1. Remember, when you multiply or divide by a negative number, you must reverse the inequality sign. So, -x becomes x, and -4 becomes 4.
  • Step 5: The final result is x > 4.
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