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Solve the inequality 7 - x < 2.

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What’s inside this PDF?

Question: Solve the inequality 7 - x < 2.

Options:

  1. x > 5
  2. x < 5
  3. x > 7
  4. x < 7

Correct Answer: x > 5

Solution:

7 - x < 2 => -x < -5 => x > 5.

Solve the inequality 7 - x < 2.

Practice Questions

Q1
Solve the inequality 7 - x < 2.
  1. x > 5
  2. x < 5
  3. x > 7
  4. x < 7

Questions & Step-by-Step Solutions

Solve the inequality 7 - x < 2.
Correct Answer: x > 5
  • Step 1: Start with the inequality: 7 - x < 2.
  • Step 2: To isolate -x, subtract 7 from both sides: -x < 2 - 7.
  • Step 3: Simplify the right side: -x < -5.
  • 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 > 5.
  • Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
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