Determine the solution set for the inequality 5 - 2x ≤ 3.

Practice Questions

Q1
Determine the solution set for the inequality 5 - 2x ≤ 3.
  1. x < 1
  2. x > 1
  3. x ≤ 1
  4. x ≥ 1

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 5 - 2x ≤ 3.
Correct Answer: x ≥ 1
  • Step 1: Start with the inequality: 5 - 2x ≤ 3.
  • Step 2: Subtract 5 from both sides to isolate the term with x: -2x ≤ 3 - 5.
  • Step 3: Simplify the right side: -2x ≤ -2.
  • Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: x ≥ 1.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying operations to isolate the variable correctly while considering the direction of the inequality.
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