MTH202 Assignment 01 Spring 2021 Solution / Discussion
#Mth202 Assignment 1 Solution 2021 Spring
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MTH202 ASSIGNMENT 1 SOLUTION SPRING 2021
DISCRETE MATHEMATICS
Due Date: 20-05-2021
Total Marks: 10
QUESTION No 1:
Let the universal set U be the set of integers and A = { x € z | 0 < x ≤ 5 } and
B = { x € z | 3 ≤ x <9 }, then find
SOLUTION:
A = {1, 2, 3, 4, 5} U {3,4,5,6,7,8}
= {1,2,3,4,5,6,7,8}
U = {0, ±1,±2,±3,….}
(AUB)^{C} = U – (AUB)
= {…,-2,-1,-0,-1,2,3,….} – {1,2,3,4,5,6,7,8}
(AUB)^{C} = {….,-2,-1,0,9,10,11,12,…..}
(AUB)^{C} = {x € z | x ∉ {1,2,3,4,5,6,7,8}}
A∩B = {1,2,3,4,5} ∩ {3,4,5,6,7,8}
= {3,4,5}
(A∩B)^{C} = U - (A∩B)
= {…,-3,-2,-1,-0,-1,2,3,….} – {3,4,5}
(A∩B)^{C} = {…,-2-1,0,1,2,6,7,8,…}
(A∩B)^{C} = {x € z | x ∉ {3,4,5}}
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Mth202 assignment 1 spring 2021 | Correct solution
MTH202 Assignment 1 Solution Spring 2021. Discrete Mathematics Assignment 1 2021. Download MTH202 Assignment 1 Solution 2021 Easily from this website.
MTH202 ASSIGNMENT 1 SOLUTION SPRING 2021
DISCRETE MATHEMATICS
Due Date: 20-05-2021
Total Marks: 10
QUESTION No 1:
Let the universal set U be the set of integers and A = { x € z | 0 < x ≤ 5 } and
B = { x € z | 3 ≤ x <9 }, then find
(i) (AUB)C
(ii) (A∩B)C
SOLUTION:
(i) (AUB)C
A = {1, 2, 3, 4, 5} U {3,4,5,6,7,8}
= {1,2,3,4,5,6,7,8}
U = {0, ±1,±2,±3,….}
(AUB)C = U – (AUB)
= {…,-2,-1,-0,-1,2,3,….} – {1,2,3,4,5,6,7,8}
(AUB)C = {….,-2,-1,0,9,10,11,12,…..}
(AUB)C = {x € z | x ∉ {1,2,3,4,5,6,7,8}}
(ii) (A∩B)C
A∩B = {1,2,3,4,5} ∩ {3,4,5,6,7,8}
= {3,4,5}
(A∩B)C = U - (A∩B)
= {…,-3,-2,-1,-0,-1,2,3,….} – {3,4,5}
(A∩B)C = {…,-2-1,0,1,2,6,7,8,…}
(A∩B)C = {x € z | x ∉ {3,4,5}}
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