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Solve the inequality 8 - x > 3.

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Question: Solve the inequality 8 - x > 3.

Options:

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

Correct Answer: x < 5

Solution:

8 - x > 3 => -x > -5 => x < 5.

Solve the inequality 8 - x > 3.

Practice Questions

Q1
Solve the inequality 8 - x > 3.
  1. x < 5
  2. x > 5
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

Solve the inequality 8 - x > 3.
Correct Answer: x < 5
  • Step 1: Start with the inequality 8 - x > 3.
  • Step 2: To isolate -x, subtract 8 from both sides. This gives you -x > 3 - 8.
  • Step 3: Simplify the right side. 3 - 8 equals -5, so now you have -x > -5.
  • Step 4: To solve for x, multiply both sides of the inequality by -1. Remember, when you multiply or divide by a negative number, you must flip the inequality sign.
  • Step 5: Flipping the inequality gives you 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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