My Learning Cart
?
Categories
Account

Solve the inequality 3(x - 1) > 2(x + 2). What is the solution?

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

What’s inside this PDF?

Question: Solve the inequality 3(x - 1) > 2(x + 2). What is the solution?

Options:

  1. x < 5
  2. x > 5
  3. x < 4
  4. x > 4

Correct Answer: x > 5

Solution: 

3(x - 1) > 2(x + 2) => 3x - 3 > 2x + 4 => x > 7.

Solve the inequality 3(x - 1) > 2(x + 2). What is the solution?

Practice Questions

Q1
Solve the inequality 3(x - 1) > 2(x + 2). What is the solution?
  1. x < 5
  2. x > 5
  3. x < 4
  4. x > 4

Questions & Step-by-Step Solutions

Solve the inequality 3(x - 1) > 2(x + 2). What is the solution?
  • Step 1: Start with the inequality: 3(x - 1) > 2(x + 2).
  • Step 2: Distribute the 3 on the left side: 3 * x - 3 * 1 = 3x - 3.
  • Step 3: Distribute the 2 on the right side: 2 * x + 2 * 2 = 2x + 4.
  • Step 4: Now the inequality looks like this: 3x - 3 > 2x + 4.
  • Step 5: To isolate x, subtract 2x from both sides: 3x - 2x - 3 > 4.
  • Step 6: This simplifies to: x - 3 > 4.
  • Step 7: Now, add 3 to both sides to solve for x: x > 4 + 3.
  • Step 8: This gives us the final solution: x > 7.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Skills in distributing, combining like terms, and isolating the variable.
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