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What is the solution set for the inequality: -4x + 1 ≤ 9?

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Question: What is the solution set for 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 the inequality): x ≥ -2.

What is the solution set for the inequality: -4x + 1 ≤ 9?

Practice Questions

Q1
What is the solution set for the inequality: -4x + 1 ≤ 9?
  1. x ≥ -2
  2. x ≤ -2
  3. x > -2
  4. x < -2

Questions & Step-by-Step Solutions

What is the solution set for the inequality: -4x + 1 ≤ 9?
  • Step 1: Start with the inequality -4x + 1 ≤ 9.
  • Step 2: Subtract 1 from both sides to isolate the term with x. This gives you -4x ≤ 8.
  • Step 3: Now, divide both sides by -4. Remember, when you divide by a negative number, you must reverse the inequality sign. So, it becomes x ≥ -2.
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