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Find the solution for the inequality 3x + 2 ≥ 11.

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Question: Find the solution for the inequality 3x + 2 ≥ 11.

Options:

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

Correct Answer: x ≥ 3

Solution: 

3x + 2 ≥ 11 => 3x ≥ 9 => x ≥ 3.

Find the solution for the inequality 3x + 2 ≥ 11.

Practice Questions

Q1
Find the solution for the inequality 3x + 2 ≥ 11.
  1. x ≥ 3
  2. x ≤ 3
  3. x ≥ 2
  4. x ≤ 2

Questions & Step-by-Step Solutions

Find the solution for the inequality 3x + 2 ≥ 11.
Correct Answer: x ≥ 3
  • Step 1: Start with the inequality 3x + 2 ≥ 11.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you 3x ≥ 11 - 2.
  • Step 3: Simplify the right side. 11 - 2 equals 9, so now you have 3x ≥ 9.
  • Step 4: Divide both sides by 3 to solve for x. This gives you x ≥ 9 / 3.
  • Step 5: Simplify the right side. 9 divided by 3 equals 3, so now you have x ≥ 3.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying basic algebraic operations to both sides of the inequality to find the solution.
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