7. For all odd integers x and y, x² +3y² = 0 (mod8) . 8. The equation x* +x² +1= 0 has no real solutions. 9. For all sets A and B, if A N B = B, then BC A.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Mathematical Reasoning
Writing and Proof:

 

Prove or disprove each of the following statements.

7.
For all odd integers x and y, x² +3y² = 0 (mod8) .
8.
The equation x* +x² +1=0 has no real solutions.
9.
For all sets A and B, if A N B = B, then BC A.
Transcribed Image Text:7. For all odd integers x and y, x² +3y² = 0 (mod8) . 8. The equation x* +x² +1=0 has no real solutions. 9. For all sets A and B, if A N B = B, then BC A.
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