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Which of the following is a solution to the inequality: 7 - 3x < 1?

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Question: Which of the following is a solution to the inequality: 7 - 3x < 1?

Options:

  1. x > 2
  2. x < 2
  3. x > 1
  4. x < 1

Correct Answer: x > 2

Solution: 

Step 1: Subtract 7 from both sides: -3x < -6. Step 2: Divide by -3 (reverse the inequality): x > 2.

Which of the following is a solution to the inequality: 7 - 3x < 1?

Practice Questions

Q1
Which of the following is a solution to the inequality: 7 - 3x < 1?
  1. x > 2
  2. x < 2
  3. x > 1
  4. x < 1

Questions & Step-by-Step Solutions

Which of the following is a solution to the inequality: 7 - 3x < 1?
  • Step 1: Start with the inequality: 7 - 3x < 1.
  • Step 2: Subtract 7 from both sides to isolate the term with x. This gives you: -3x < 1 - 7.
  • Step 3: Simplify the right side: -3x < -6.
  • Step 4: Now, divide both sides by -3. Remember, when you divide by a negative number, you must reverse the inequality sign. So it becomes: x > 2.
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