Which of the following are equivalent ways of expressing


Question: Consider the following statement:

∀ integers n, if n2 is even then n is even.

Which of the following are equivalent ways of expressing this statement?

a. All integers have even squares and are even.

b. Given any integer whose square is even, that integer is itself even.

c. For all integers, there are some whose square is even.

d. Any integer with an even square is even.

e. If the square of an integer is even, then that integer is even.

f. All even integers have even squares.

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Mathematics: Which of the following are equivalent ways of expressing
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