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

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

Practice Questions

Q1
What is the solution 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 for the inequality 7 - 4x < 3?
  • 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 flip the inequality sign: x > 1.
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