Consider the logical statement: S2: If n is an odd integer, then n² is an odd integer. The inverse of the statement S2 is true if a) the domain of discourse for n is the real numbers R b) the domain of discourse for n is the integers Z c) both a) and b) d) none of the above

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Chapter2: Second-order Linear Odes
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I know the answer is B, but I want know why it can't be both A and B, please show me why thanks!!

3.
Consider the logical statement:
S2: If n is an odd integer, then n² is an odd integer.
The inverse of the statement S2 is true if
a) the domain of discourse for n is the real numbers R
b) the domain of discourse for n is the integers Z
c) both a) and b)
d) none of the above
Transcribed Image Text:3. Consider the logical statement: S2: If n is an odd integer, then n² is an odd integer. The inverse of the statement S2 is true if a) the domain of discourse for n is the real numbers R b) the domain of discourse for n is the integers Z c) both a) and b) d) none of the above
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