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## 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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