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Find the solution for the inequality 2(x - 1) ≥ 3.

Practice Questions

Q1
Find the solution for the inequality 2(x - 1) ≥ 3.
  1. x ≥ 2.5
  2. x ≤ 2.5
  3. x ≥ 1.5
  4. x ≤ 1.5

Questions & Step-by-Step Solutions

Find the solution for the inequality 2(x - 1) ≥ 3.
Correct Answer: x ≥ 2.5
  • Step 1: Start with the inequality: 2(x - 1) ≥ 3.
  • Step 2: Distribute the 2 on the left side: 2 * x - 2 ≥ 3.
  • Step 3: Rewrite the inequality: 2x - 2 ≥ 3.
  • Step 4: Add 2 to both sides to isolate the term with x: 2x ≥ 3 + 2.
  • Step 5: Simplify the right side: 2x ≥ 5.
  • Step 6: Divide both sides by 2 to solve for x: x ≥ 5 / 2.
  • Step 7: Simplify 5 / 2 to get x ≥ 2.5.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Distributive Property – Applying the distributive property correctly when expanding expressions.
  • Transposition – Rearranging the inequality to isolate the variable on one side.
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