Question

PLEASE HELP ME AND I WILL GIVE MEDAL AND BE SSOOOO GREATFUL <3

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:

Answer 1

@Haseeb96 Pls help me :)

Answer 2

@ganeshie8 @Here_to_Help15 @study100

Answer 3

For #3, try `2`. But on the other hand the test primes are odd, and `odd ² = odd` .

For `she writes the following...` you mean \(\normalsize\color{black}{ 3^2 = 9,~~ 5^2 = 25, ~~7^2 = 49, ~~11^2 = 121, ~~\rm{and}~~ 13^2 = 169. }\)

Yes, this is true :)

Answer 4

You do the rest. I'll be offline, but many others can finish:) Good Luck !

Answer 5

okay thank you. Can @Haseeb96 you please help me?

Answer 6

@Here_to_Help15