ITEM 3. Prove: If A C B and BC C, then ACC.

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Please answer item 3. I'm really having a hard time answergin set theoretic proofs. Thanks!

Let U be a universal set and A, B, C C U.
ITEM 1. Prove: A n B C AU B
ITEM 2. Prove: (A U B)C = AC n BC
Here, AC and BC denotes set complement.
Use De Morgan's Law for negation of OR to prove this.
ITEM 3. Prove: If A C B and B C C, then ACC.
Transcribed Image Text:Let U be a universal set and A, B, C C U. ITEM 1. Prove: A n B C AU B ITEM 2. Prove: (A U B)C = AC n BC Here, AC and BC denotes set complement. Use De Morgan's Law for negation of OR to prove this. ITEM 3. Prove: If A C B and B C C, then ACC.
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