My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

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

Options:

  1. x ≥ 2.5
  2. x ≤ 2.5
  3. x ≥ 1.5
  4. x ≤ 1.5

Correct Answer: x ≥ 1.5

Solution: 

2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.5.

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.
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