For all real number x, if x is greater than 3, then the square of x is greater than 9. 
If x ________, then _________.

The statement given is a conditional one, where you have a hypothesis ("if x is greater than 3") and a conclusion ("then the square of x is greater than 9"). To complete the sentence in a similar format, we can consider other related conditions.

For example:

- "If x is less than or equal to 3, then the square of x is less than or equal to 9."
- "If x is equal to 3, then the square of x is equal to 9."
- "If x is less than 3, then the square of x is less than 9."

Let me know if you'd like more details or have any questions. 

Here are some related questions:
1. What happens to the square of \(x\) when \(x\) is negative?
2. How does the inequality change if \(x\) is exactly 3?
3. What if \(x\) is between 0 and 3?
4. Can you generalize this for \(x > a\) where \(a\) is any positive number?
5. How does squaring affect inequalities in general?

**Tip:** Always remember that squaring is a non-negative operation, meaning \(x^2\) is always greater than or equal to 0, regardless of the sign of \(x\).

For all real number x, if x is greater than 3, then the square of x is greater than 9. If x ________, then ________.

Explore the relationship between inequalities and square functions in this problem. Learn why the square of x is greater than 9 when x is greater than 3, and discover related conditions for when x is equal to or less than 3. Suitable for Grades 8-10 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation