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Solve the inequality: 7x + 2 ≤ 3x + 10.

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Question: Solve the inequality: 7x + 2 ≤ 3x + 10.

Options:

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

Correct Answer: x ≥ 2

Solution: 

Step 1: Subtract 3x from both sides: 4x + 2 ≤ 10. Step 2: Subtract 2: 4x ≤ 8. Step 3: Divide by 4: x ≥ 2.

Solve the inequality: 7x + 2 ≤ 3x + 10.

Practice Questions

Q1
Solve the inequality: 7x + 2 ≤ 3x + 10.
  1. x ≤ 2
  2. x ≥ 2
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

Solve the inequality: 7x + 2 ≤ 3x + 10.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, and division on both sides of an inequality.
  • Direction of Inequality – Recognizing that dividing by a negative number reverses the inequality sign.
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