[SOLVED] Discrete Mathematics for IT .. (Show all your work when necessary to receive full credit)

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May 27th, 2022

I need help with a Mathematics question. All explanations and answers will be used to help me learn.

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Math 260, QUIZ 5

*Show all your work when necessary to receive full credit.

1. (4 points) In a classroom of 30 students, 12 are math majors, 13 are biology majors, and 7 are both.

(a) Use a Venn Diagram (with labels) to describe this situation.

(b) How many people are neither math nor biology majors?

2. (8 points) Let A = {a, b, c, d, e, f, g, h, i, j}, B = {b, d, f, h}, C = {a, c, e}, D = {k, l}, E = {a, c, e, k, l}. Insert the correct symbol in the blank. Your choices are ?, ?, ?, 6?, ?, 6?, ?, =, 6=. You may use each symbol more than once (or even not at all). (a) h B (b) j A (c) k A (d) C A (e) A ? E C (f) A ? D = (g) B A (h) E = C D

3. (4 points) Prove that for all sets A and B, A ? B ? A.

see attached!

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[SOLVED] Discrete Mathematics for IT .. (Show all your work when necessary to receive full credit)

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