My Learning Cart
?
Categories
Account

Determine the solution set for the inequality 4x - 1 < 3.

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

What’s inside this PDF?

Question: Determine the solution set for the inequality 4x - 1 < 3.

Options:

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

Correct Answer: x < 1

Solution: 

4x - 1 < 3 => 4x < 4 => x < 1.

Determine the solution set for the inequality 4x - 1 < 3.

Practice Questions

Q1
Determine the solution set for the inequality 4x - 1 < 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 4x - 1 < 3.
Correct Answer: x < 1
  • Step 1: Start with the inequality: 4x - 1 < 3.
  • Step 2: Add 1 to both sides of the inequality to isolate the term with x. This gives you: 4x - 1 + 1 < 3 + 1.
  • Step 3: Simplify both sides. The left side becomes 4x and the right side becomes 4. So now you have: 4x < 4.
  • Step 4: Divide both sides of the inequality by 4 to solve for x. This gives you: x < 4 / 4.
  • Step 5: Simplify the right side. 4 / 4 equals 1, so you have: x < 1.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying operations to isolate the variable and determine the solution set.
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