Kaylee123
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Cynthia made the conjecture that the sum of any prime number and any composite number is a composite number.

Which equation is a counterexample to her conjecture?

A.
11 + 2 = 13

B.
5 + 8 = 13

C.
13 + 2 = 15

D.
11 + 9 = 20

Respuesta :

SchwarzschildRadius
Well,

We will need an equation in the form of:
(prime no.) + (composite no.) = (prime no.)

Options C and D immediately are rejected because the result is a composite number.

Option A looks like it could be a counterexample, but 2 is a prime number.

That leaves option B, which is the correct option.

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