My Learning Cart
?
Categories
Account

Determine the solution set for the inequality 5x - 7 < 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 5x - 7 < 3.

Options:

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

Correct Answer: x < 2

Solution: 

5x - 7 < 3 => 5x < 10 => x < 2.

Determine the solution set for the inequality 5x - 7 < 3.

Practice Questions

Q1
Determine the solution set for the inequality 5x - 7 < 3.
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 5x - 7 < 3.
Correct Answer: x < 2
  • Step 1: Start with the inequality: 5x - 7 < 3.
  • Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 5x < 3 + 7.
  • Step 3: Simplify the right side: 3 + 7 = 10. Now you have: 5x < 10.
  • Step 4: Divide both sides of the inequality by 5 to solve for x. This gives you: x < 10 / 5.
  • Step 5: Simplify the right side: 10 / 5 = 2. Now you have: x < 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying operations to isolate the variable and solve for its value.
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