7. For all odd integers x and y, x² + 3y² = 0 (mod 8).

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Give formal well-written proofs when you are proving a result or a counter example otherwise

Prove or disprove each of the following statements.

 

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