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What is the solution set for the inequality 7 - 4x ≤ 3?

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Question: What is the solution set for the inequality 7 - 4x ≤ 3?

Options:

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

Correct Answer: x ≤ 1

Solution: 

7 - 4x ≤ 3 => -4x ≤ -4 => x ≥ 1.

What is the solution set for the inequality 7 - 4x ≤ 3?

Practice Questions

Q1
What is the solution set for the inequality 7 - 4x ≤ 3?
  1. x ≥ 1
  2. x ≤ 1
  3. x ≥ -1
  4. x ≤ -1

Questions & Step-by-Step Solutions

What is the solution set for the inequality 7 - 4x ≤ 3?
Correct Answer: x ≥ 1
  • Step 1: Start with the inequality: 7 - 4x ≤ 3.
  • Step 2: Subtract 7 from both sides to isolate the term with x: -4x ≤ 3 - 7.
  • Step 3: Simplify the right side: -4x ≤ -4.
  • Step 4: Divide both sides by -4. Remember, when you divide by a negative number, you must flip the inequality sign: x ≥ 1.
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