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Solve the inequality: 7x + 1 ≤ 3x + 9.

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Question: Solve the inequality: 7x + 1 ≤ 3x + 9.

Options:

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

Correct Answer: x ≤ 2

Solution: 

Step 1: Subtract 3x from both sides: 4x + 1 ≤ 9. Step 2: Subtract 1: 4x ≤ 8. Step 3: Divide by 4: x ≤ 2.

Solve the inequality: 7x + 1 ≤ 3x + 9.

Practice Questions

Q1
Solve the inequality: 7x + 1 ≤ 3x + 9.
  1. x ≤ 2
  2. x ≥ 2
  3. x ≤ 4
  4. x ≥ 4

Questions & Step-by-Step Solutions

Solve the inequality: 7x + 1 ≤ 3x + 9.
  • 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.
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