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Find the solution set for the inequality 3x + 5 ≥ 2x + 8.

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Question: Find the solution set for the inequality 3x + 5 ≥ 2x + 8.

Options:

  1. x ≥ 3
  2. x ≤ 3
  3. x ≥ 5
  4. x ≤ 5

Correct Answer: x ≥ 3

Solution: 

3x + 5 ≥ 2x + 8 => x ≥ 3.

Find the solution set for the inequality 3x + 5 ≥ 2x + 8.

Practice Questions

Q1
Find the solution set for the inequality 3x + 5 ≥ 2x + 8.
  1. x ≥ 3
  2. x ≤ 3
  3. x ≥ 5
  4. x ≤ 5

Questions & Step-by-Step Solutions

Find the solution set for the inequality 3x + 5 ≥ 2x + 8.
Correct Answer: x ≥ 3
  • Step 1: Start with the inequality: 3x + 5 ≥ 2x + 8.
  • Step 2: To isolate x, first subtract 2x from both sides: 3x - 2x + 5 ≥ 8.
  • Step 3: This simplifies to: x + 5 ≥ 8.
  • Step 4: Next, subtract 5 from both sides: x ≥ 8 - 5.
  • Step 5: This simplifies to: x ≥ 3.
  • Linear Inequalities – Understanding how to manipulate and solve linear inequalities involving one variable.
  • Isolating the Variable – The process of rearranging the inequality to isolate the variable on one side.
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