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If 7 - 2x > 3, what is the value of x?

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Question: If 7 - 2x > 3, what is the value of x?

Options:

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

Correct Answer: x > 2

Solution:

7 - 2x > 3 => -2x > -4 => x < 2.

If 7 - 2x > 3, what is the value of x?

Practice Questions

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

Questions & Step-by-Step Solutions

If 7 - 2x > 3, what is the value of x?
Correct Answer: x < 2
  • Step 1: Start with the inequality 7 - 2x > 3.
  • Step 2: Subtract 7 from both sides to isolate the term with x. This gives us -2x > 3 - 7.
  • Step 3: Simplify the right side. 3 - 7 equals -4, so now we have -2x > -4.
  • Step 4: To solve for x, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -2x / -2 < -4 / -2.
  • Step 5: Simplifying gives us x < 2.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Manipulation – Applying algebraic operations to isolate the variable.
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