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By drawing a Venn diagram, simplify each of the expressions in Exercises 51–54 to involve at most one union and the complement symbol applied only to R, S, and T.
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Finite Mathematics & Its Applications (12th Edition)
- 2. U={1, 2, 3, ., 7, 8, 9, 10} A = {2, 4, 6, 8, 10 } B ={2, 3, 4, 5 } C= {6, 7, 8, 9 } Where A, B, CCU. Determines the elements of: Exercise a) A-(BUC) b) CU (A N B) c) (C - B) U (A - B) U (C – A)arrow_forwardLet A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements of A × B. {(small, pentagonal), (small, round), (medium, pentagonal), (medium, round), (large, pentagonal), (large, round)}{(small, blue), (small, magenta), (medium, blue), (medium, magenta), (large, blue), (large, magenta)} {(blue, pentagonal), (blue, round), (magenta, pentagonal), (small, round)}{(small, pentagonal), (small, round), (medium, pentagonal), (medium, round), (blue, pentagonal), (large, round)}{(blue, pentagonal), (blue, round), (magenta, pentagonal), (magenta, round)}arrow_forwardGiven a set S, the following are true statements regarding conv S: Select one or more: a. None of the answer is correct O b. If S={(2, -7), (4,0), (4,-2), (5, -5), (6, -7)} then conv S is a trapezoid O c. If S={(2, -7), (4,0), (4,-2), (6, -7), (8, 0)} then conv S is a rectangle d. If S={(2, -7), (4,0), (4,-2), (6, -7), (8, 0)} then conv S is a trapezoid O e. If S={(2, -7), (4,0), (4,-2), (5, -5), (6, -7)} then conv S is an isosceles trianglearrow_forward
- Let A = {small, medium, large}, B = {white, black}, and C = {pentagonal, square}. List the elements of A ✕ C. Choose which one it is below. {(white, pentagonal), (white, square), (black, pentagonal), (small, square)} {(small, pentagonal), (small, square), (medium, pentagonal), (medium, square), (white, pentagonal), (large, square)} {(small, white), (small, black), (medium, white), (medium, black), (large, white), (large, black)} {(small, pentagonal), (small, square), (medium, pentagonal), (medium, square), (large, pentagonal), (large, square)} {(white, pentagonal), (white, square), (black, pentagonal), (black, square)}arrow_forwardSuppose that A and B are subsets of S. Express symmetric difference of A and B (AtriangleB) in terms of intersections, unions, and complements.arrow_forwardLet A, B, C, D be sets. Prove that (a) A x (BnC) = (A × B) N (A × C) (b) (A × B)n (C × D) = (AnC) × (Bn D)arrow_forward
- Let A = {small, medium, large}, B = {red, black}, and C = {pentagonal, round}. List the elements of A x C. O {{small, red), (small, black), (medium, red), (medium, black), (large, red), (large, black)} O {(red, pentagonal), (red, round), (black, pentagonal), (small, round)} O {(red, pentagonal), (red, round), (black, pentagonal), (black, round)} O {(small, pentagonal), (small, round), (medium, pentagonal), (medium, round), (red, pentagonal), (large, round)} O {(small, pentagonal), (small, round), (medium, pentagonal), (medium, round), (large, pentagonal), (large, round)} Need Help? Read It Watch Itarrow_forwardLet . Show that is in for all values of h and k (Be sure to explain what your work tells you! I shouldn’t be interpreting computations).arrow_forwardUsing the names of properties from Exercise 11, identify the property illustrated by each statement: a) If A1 b) If A1 A1 - A4. c) Al - A1. A2, then A2 - Al. Δ2, Δ2 A3, and A3 - 4, then Harrow_forward
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