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Solve the inequality 5 - x ≤ 2.

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What’s inside this PDF?

Question: Solve the inequality 5 - x ≤ 2.

Options:

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

Correct Answer: x ≤ 3

Solution:

5 - x ≤ 2 => -x ≤ -3 => x ≥ 3.

Solve the inequality 5 - x ≤ 2.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality 5 - x ≤ 2.
Correct Answer: x ≥ 3
  • Step 1: Start with the inequality 5 - x ≤ 2.
  • Step 2: To isolate -x, subtract 5 from both sides. This gives you -x ≤ 2 - 5.
  • Step 3: Simplify the right side: 2 - 5 equals -3. Now you have -x ≤ -3.
  • 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. So, -x becomes x, and -3 becomes 3. Now you have x ≥ 3.
  • 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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