Question

What is the value of \( x \) in the equation \( 2x + 5 = 11 \)?
I. \( x = 3 \)
II. \( x \) is a prime number.

• A. If the statement I alone is sufficient to answer the question.
• B. If the statement II alone is sufficient to answer the question.
• C. If the statements I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. If the statements I and II together are not sufficient to answer the question and additional data is required.

Hint:

When solving linear equations, always isolate the variable by performing operations on both sides of the equation.

Answer 1

The Correct Option is A

We are given the equation: \[ 2x + 5 = 11 \] First, subtract 5 from both sides of the equation: \[ 2x = 11 - 5 \] \[ 2x = 6 \] Now, divide both sides by 2: \[ x = \frac{6}{2} = 3 \] Thus, the value of \( x \) is 3, which satisfies both conditions:
- \( x = 3 \) (Condition I),
- 3 is a prime number (Condition II).
Thus, the correct answer is \( \boxed{1} \).