3. Carmen is trying to determine if the following statement is always, sometimes, or never true:
The square of a prime number is odd.
She writes the following statements: 32 = 9, 52 = 25, 72 = 49, 112 = 121, and 132 = 169. Using her results, she concludes that the statement is always true.
a. What kind of reasoning did Carmen use?
b. Is her conclusion correct? If not, use a counterexample to prove why it is not.
Answer:

Question

3. Carmen is trying to determine if the following statement is always, sometimes, or never true:
The square of a prime number is odd.
She writes the following statements: 32 = 9, 52 = 25, 72 = 49, 112 = 121, and 132 = 169.          Using her results, she concludes that the statement is always true. 
a. What kind of reasoning did Carmen use? 
b. Is her conclusion correct? If not, use a counterexample to prove why it is not.
Answer:

agent0smith · Answer

The square of a prime number is odd...

2 is a prime number.