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Solve the inequality 5 - x ≥ 1.

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What’s inside this PDF?

Question: Solve the inequality 5 - x ≥ 1.

Options:

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

Correct Answer: x ≤ 4

Solution:

5 - x ≥ 1 => -x ≥ -4 => x ≤ 4.

Solve the inequality 5 - x ≥ 1.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality 5 - x ≥ 1.
Correct Answer: x ≤ 4
  • Step 1: Start with the inequality 5 - x ≥ 1.
  • Step 2: To isolate -x, subtract 5 from both sides. This gives you -x ≥ 1 - 5.
  • Step 3: Simplify the right side. 1 - 5 equals -4, so now you have -x ≥ -4.
  • 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. This changes -x to x and -4 to 4, giving you x ≤ 4.
  • 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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