?
Categories
Account

Solve the inequality 4 - x ≤ 2.

  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: Solve the inequality 4 - x ≤ 2.

Options:

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

Correct Answer: x ≤ 2

Solution:

4 - x ≤ 2 => -x ≤ -2 => x ≥ 2.

Solve the inequality 4 - x ≤ 2.

Practice Questions

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

Questions & Step-by-Step Solutions

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

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks