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Find the solution set for the inequality 2x + 4 ≥ 8.

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Question: Find the solution set for the inequality 2x + 4 ≥ 8.

Options:

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

Correct Answer: x ≥ 2

Solution: 

2x + 4 ≥ 8 => 2x ≥ 4 => x ≥ 2.

Find the solution set for the inequality 2x + 4 ≥ 8.

Practice Questions

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

Questions & Step-by-Step Solutions

Find the solution set for the inequality 2x + 4 ≥ 8.
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality 2x + 4 ≥ 8.
  • Step 2: Subtract 4 from both sides to isolate the term with x. This gives you 2x ≥ 8 - 4.
  • Step 3: Simplify the right side. Now you have 2x ≥ 4.
  • Step 4: Divide both sides by 2 to solve for x. This gives you x ≥ 4 / 2.
  • Step 5: Simplify the right side again. 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.
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