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Solve the inequality: -4x + 1 ≤ 9.

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What’s inside this PDF?

Question: Solve the inequality: -4x + 1 ≤ 9.

Options:

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

Correct Answer: x ≥ -2

Solution: 

Step 1: Subtract 1 from both sides: -4x ≤ 8. Step 2: Divide by -4 (reverse inequality): x ≥ -2.

Solve the inequality: -4x + 1 ≤ 9.

Practice Questions

Q1
Solve the inequality: -4x + 1 ≤ 9.
  1. x ≥ -2
  2. x ≤ -2
  3. x > -2
  4. x < -2

Questions & Step-by-Step Solutions

Solve the inequality: -4x + 1 ≤ 9.
  • Step 1: Start with the inequality -4x + 1 ≤ 9.
  • Step 2: Subtract 1 from both sides to get -4x ≤ 8.
  • Step 3: Now, divide both sides by -4. Remember, when you divide by a negative number, you reverse the inequality sign.
  • Step 4: So, you get x ≥ -2.
  • Inequalities – Understanding how to manipulate inequalities, including reversing the inequality sign when dividing by a negative number.
  • Algebraic Manipulation – Performing operations such as addition, subtraction, multiplication, and division on both sides of an inequality.
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