Math121 Discussion - 6th week

# Math121 Discussion - 6th week - MATH 121 DISCUSSION WEEK 6...

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MATH 121 DISCUSSION WEEK 6 WORKSHEET 1) Consider the following sets: A = { set of even numbers from 0 to 10 } B = { Massachusetts, Connecticut, Rhode Island, Maine, New Hampshire, Vermont } (a) Rewrite set A in roster notation. (b) Rewrite set B in set builder notation. (c) Is it true that A B ? Why or why not? (d) Is it true that A = B ? Why or why not? (e) What is A B ? How would you describe the sets A and B ? (f) What is a possible U for set B ? (g) What is one way that you can describe B 0 ? (h) What is A B ? (i) Draw a Venn diagram representing A B . Let U be the universal set of all numbers and all words. 2) Consider the following sets: A = { e, g, h, i, i, e
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Unformatted text preview: } , B = { g, h, e, i } , C = { g, h, e } , D = { k, l, m } , E = { e, h, k, m } (a) Is it true that k ∈ C ? How about k ∈ D ? (b) Is A = B ? Why or why not? (c) Is C a subset of A ? (d) Is A a subset of B ? (e) Write out all the subsets of D . How many subsets of D are there? (f) Is it true that B ∼ C ? Why or why not? (g) What could be a possible universal set U for these sets? (h) How can you describe D ? (i) What is B ∩ C ? (j) What is B ∪ E ? 3) Using Venn diagrams, prove the second of DeMorgan’s Laws: ( A ∩ B ) = A ∪ B . 1...
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