Quiz1_sol

# Quiz1_sol - b ∈ B such that b ∈ A Problem 2(2 point...

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QUIZ 1 WED., SEPT. 28 NAME: DIRECTIONS: No papers, phones, calculators, or gadgets are permitted to be out during the quiz. Show all work, clearly and in order You will lose points if any of these instructions are not followed. Questions Points Score 1 1 2 2 3 2 Total 5 1

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QUIZ 1 WED., SEPT. 28 NAME: Problem 1: (1 point) What is the definition of A B ? How does that differ from A B ? We say A B ( A is a subset of B ) if for all a A , the a B . A B ( A is a proper subset of B ) if A is a subset of B but there exists a
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Unformatted text preview: b ∈ B such that b / ∈ A . Problem 2: (2 point) Suppose A and B are sets. Show that A = B iF and only iF A ⊆ B and B ⊆ A . see lecture notes Problem 3: (2 points) ²or each oF the Following symbols, what is the translation into “words”? (a) (0.5 points) ∈ “ in .” (b) (0.5 points) ∀ “ For all .” (c) (0.5 points) ∃ “ there exists .” (d) (0.5 points) ⇐⇒ “ iF and only iF .” 2...
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