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If 7 - 2x < 1, what is the value of x?

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Question: If 7 - 2x < 1, what is the value of x?

Options:

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

Correct Answer: x > 3

Solution: 

Rearranging gives 6 < 2x, thus x > 3.

If 7 - 2x < 1, what is the value of x?

Practice Questions

Q1
If 7 - 2x < 1, what is the value of x?
  1. x < 3
  2. x > 3
  3. x = 3
  4. x = 4

Questions & Step-by-Step Solutions

If 7 - 2x < 1, what is the value of x?
  • Step 1: Start with the inequality 7 - 2x < 1.
  • Step 2: To isolate the term with x, subtract 7 from both sides: -2x < 1 - 7.
  • Step 3: Simplify the right side: -2x < -6.
  • Step 4: Now, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: x > 3.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Rearrangement – Rearranging equations to isolate the variable.
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