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Determine the solution set for the inequality 7x + 2 ≥ 4.

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Question: Determine the solution set for the inequality 7x + 2 ≥ 4.

Options:

  1. x ≥ 0
  2. x ≤ 0
  3. x ≥ 1/7
  4. x ≤ 1/7

Correct Answer: x ≥ 1/7

Solution: 

Subtract 2 from both sides: 7x ≥ 2. Then divide by 7: x ≥ 2/7.

Determine the solution set for the inequality 7x + 2 ≥ 4.

Practice Questions

Q1
Determine the solution set for the inequality 7x + 2 ≥ 4.
  1. x ≥ 0
  2. x ≤ 0
  3. x ≥ 1/7
  4. x ≤ 1/7

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 7x + 2 ≥ 4.
Correct Answer: x ≥ 2/7
  • Step 1: Start with the inequality 7x + 2 ≥ 4.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you 7x ≥ 4 - 2.
  • Step 3: Simplify the right side. Now you have 7x ≥ 2.
  • Step 4: Divide both sides by 7 to solve for x. This gives you x ≥ 2/7.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying operations such as addition, subtraction, multiplication, and division to isolate the variable.
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