My Learning Cart
?
Categories
Account

Solve the inequality 3x - 5 < 7.

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

What’s inside this PDF?

Question: Solve the inequality 3x - 5 < 7.

Options:

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

Correct Answer: x < 4

Solution: 

To solve 3x - 5 < 7, add 5 to both sides: 3x < 12. Then divide by 3: x < 4.

Solve the inequality 3x - 5 < 7.

Practice Questions

Q1
Solve the inequality 3x - 5 < 7.
  1. x < 4
  2. x > 4
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

Solve the inequality 3x - 5 < 7.
  • Step 1: Start with the inequality 3x - 5 < 7.
  • Step 2: Add 5 to both sides of the inequality to get rid of the -5. This gives you 3x < 7 + 5.
  • Step 3: Simplify the right side. 7 + 5 equals 12, so now you have 3x < 12.
  • Step 4: Now, divide both sides of the inequality by 3 to solve for x. This gives you x < 12 / 3.
  • Step 5: Simplify the right side. 12 divided by 3 equals 4, so you have x < 4.
  • Inequalities – Understanding how to manipulate and solve inequalities, including adding, subtracting, multiplying, and dividing both sides.
  • Algebraic Manipulation – Applying algebraic operations correctly to isolate 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