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Solve the inequality: 6 - x ≤ 2.

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What’s inside this PDF?

Question: Solve the inequality: 6 - x ≤ 2.

Options:

  1. x ≥ 4
  2. x ≤ 4
  3. x ≥ 6
  4. x ≤ 6

Correct Answer: x ≤ 4

Solution:

6 - x ≤ 2 => -x ≤ -4 => x ≥ 4.

Solve the inequality: 6 - x ≤ 2.

Practice Questions

Q1
Solve the inequality: 6 - x ≤ 2.
  1. x ≥ 4
  2. x ≤ 4
  3. x ≥ 6
  4. x ≤ 6

Questions & Step-by-Step Solutions

Solve the inequality: 6 - x ≤ 2.
  • Step 1: Start with the inequality: 6 - x ≤ 2.
  • Step 2: To isolate -x, subtract 6 from both sides: 6 - x - 6 ≤ 2 - 6.
  • Step 3: This simplifies to: -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 flip the inequality sign: -x * -1 ≥ -4 * -1.
  • Step 5: This gives 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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