Provide Latest MTH202 Assignment 1 Solution Fall 2021. Easy to See Correct Step by Step Perfect MTH202 Assignment 1 Solution Download PDF File.
MTH202 ASSIGNMENT 1 SOLUTION FALL 2021
Provide by VU Answer
Due Date: 14 Dec 2021
Total Marks: 15
Question 1:
With the help of a Truth table, justify your answer that the following statement is NOT a contradiction.
Solution:
A statement that is false for all possible values of the variable involved in it is called a contradiction.
The above table given statement is not contradictory.
Question 2:
Part a:
Suppose that the set A=a,b,c. Find the power set of A. (Denoted by P(A)).
Solution:
A = {a,b, c}
P(A) = {a},{b},{c},{a,b},{a, c},{b, c},{a,b, c}}
Part B:
Suppose that the set U={x:1≤x≤10}
A= {x∈P / x≤10} and B= {x∈N / x≤5}.
Find the A∩B, A∪B. Also that draw the Venn diagram of the elements of A∩B, A∪B.
Solution:
U = {x :1 ≤ x ≤ 10} = {1, 2,3, 4,5, 6, 7,8,9,10}
A = {x ∈ P / x ≤ 10} = {2,3,5, 7}
B = {x ∈ N / x ≤ 5} = {1, 2,3, 4,5} A ∩ B, A ∪ B =?
A ∩ B = {2,3,5, 7} ∩ {1, 2,3, 4,5} = {2,3,5}
A ∪ B = {2,3,5, 7} ∪ {1, 2,3, 4,5} = {1, 2,3, 4,5, 7}
A and B are overlapping their Diagram Given in Below PDF.
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