Let A, B, and C be sets. 1. Prove: If A C B then ANC C B C. 2. Disprove: If A NCCBNC, then AC B. 3. Disprove: For any relations R and S, ran(S o R) = ran(S).
Let A, B, and C be sets. 1. Prove: If A C B then ANC C B C. 2. Disprove: If A NCCBNC, then AC B. 3. Disprove: For any relations R and S, ran(S o R) = ran(S).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let A, B, and C be sets.
1. Prove: If A C B then AnC C BNC.
2. Disprove: If AnC CBNC, then AC B.
3. Disprove: For any relations R and S, ran(S o R) = ran(S).
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