My Learning Cart
?
Categories
Account

Solve the inequality: 2(x - 1) ≥ 3x + 4.

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

What’s inside this PDF?

Question: Solve the inequality: 2(x - 1) ≥ 3x + 4.

Options:

  1. x ≤ -2
  2. x ≥ -2
  3. x ≤ 2
  4. x ≥ 2

Correct Answer: x ≤ -2

Solution: 

Step 1: Distribute: 2x - 2 ≥ 3x + 4. Step 2: Subtract 2x from both sides: -2 ≥ x + 4. Step 3: Subtract 4: -6 ≥ x. Step 4: Reverse: x ≤ -6.

Solve the inequality: 2(x - 1) ≥ 3x + 4.

Practice Questions

Q1
Solve the inequality: 2(x - 1) ≥ 3x + 4.
  1. x ≤ -2
  2. x ≥ -2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Solve the inequality: 2(x - 1) ≥ 3x + 4.
  • Step 1: Distribute the 2 on the left side of the inequality: 2(x - 1) becomes 2x - 2. So, we have 2x - 2 ≥ 3x + 4.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides of the inequality. This gives us -2 ≥ x + 4.
  • Step 3: Now, we want to isolate x. To do this, subtract 4 from both sides. This results in -6 ≥ x.
  • Step 4: Finally, we can reverse the inequality to express it in a more standard form. This gives us x ≤ -6.
  • Inequalities – Understanding how to manipulate and solve inequalities, including distribution and isolating the variable.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, and distribution correctly.
  • Reversing Inequalities – Recognizing when to reverse the inequality sign, particularly when multiplying or dividing by a negative number.
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