Help with 3 to 6. Thank you.
Nowadays we say that A is a proper subset of S, and write AC S. If A is not a proper subset of S, then we write A S. Exercise 2.5. 1. Describe what it means for A to be a proper subset of S. 2. Describe what it means for A not to be a proper subset of S. 3. Show that if ACS, then ACS. 4. Does the converse hold? Justify your answer. 5. Show that Ag A for each set A. 6. Prove that if ACB and BCC, then ACC.
Help with 3 to 6. Thank you.
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