Answer to Question #347751 in Discrete Mathematics for bel

Question

Use a Venn Diagram to illustrate the following:

a. The subset of odd integers in the set of all positive integers not exceeding 10

b. The set of all months of the year whose names do not contain the letter R in the set of all months

of the year

Answer 1

(a)

Set of all positive integers not exceeding 10:

A={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The subset of odd integers in A:

B={1, 3, 5, 7, 9}

So the Venn Diagram is:

(b)

Set of all months

of the year:

C={January, February, March, April, May, June, 

July, August, September, October, November, December}

The subset of all months of the year whose names do not contain the letter R:

D={May, June, July, August}

So the Venn Diagram is: