Let Q(x) denote the statement “x is an integer” and U be the set of real numbers. Which of the following values of x is NOT true? a. square root of -4  b. 0 c. –1 d. 8/2

To answer the question, we need to analyze which of the given values of \( x \) does **not** satisfy the statement \( Q(x) \), where \( Q(x) \) denotes "x is an integer."

Let's consider each option:

**a. \( \sqrt{-4} \)**:  
- The square root of a negative number is not a real number. Specifically, \( \sqrt{-4} \) is an imaginary number (i.e., \( 2i \)).
- Since \( \sqrt{-4} \) is not a real number, it is certainly not an integer.
- **This value is NOT true under \( Q(x) \).**

**b. \( 0 \)**:  
- 0 is a real number and an integer.
- This value is **true** under \( Q(x) \).

**c. \( -1 \)**:  
- \( -1 \) is a real number and an integer.
- This value is **true** under \( Q(x) \).

**d. \( \frac{8}{2} \)**:  
- \( \frac{8}{2} = 4 \), and 4 is a real number and an integer.
- This value is **true** under \( Q(x) \).

### Conclusion:
The value of \( x \) that is **NOT true** under the statement \( Q(x) \) is **a. \( \sqrt{-4} \)**.

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Do you need any further details or explanations?  
Here are 5 related questions for deeper understanding:
1. What are the differences between real and imaginary numbers?
2. How can we determine whether a number is an integer?
3. What are examples of numbers that are not real?
4. Can rational numbers always be considered integers?
5. What is the distinction between integers and whole numbers?

**Tip:** When encountering square roots of negative numbers, remember they belong to the set of imaginary numbers, not real numbers!

Determine which value is NOT an integer among a set including the square root of -4, 0, -1, and 8/2. Learn about integers, real numbers, and imaginary numbers with this problem designed for students in Grades 8-10.

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