Suppose x, y, z E N and A C N. 1. Write down the negation of the following statement. Either x and y belong to A, or z ‡ A. 2. Write down the converse of the following statement. If x + 1 € A, then |A| > y. 3. Write down the contrapositive of the following statement. If z² E A and y² € A then w < x for every w E A.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose x, y, z E N and A CN.
1. Write down the negation of the following statement.
Either x and y belong to A, or z. & A.
2. Write down the converse of the following statement.
If x + 1 € A, then |A| > y.
3. Write down the contrapositive of the following statement.
If z² E A and y² € A then w < x for every w E A.
Transcribed Image Text:Suppose x, y, z E N and A CN. 1. Write down the negation of the following statement. Either x and y belong to A, or z. & A. 2. Write down the converse of the following statement. If x + 1 € A, then |A| > y. 3. Write down the contrapositive of the following statement. If z² E A and y² € A then w < x for every w E A.
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