Answer to Question #243405 in Discrete Mathematics for Himanshu

Question

Use a Venn diagram to illustrate the subset of odd integers in the set of all positive integers not exceeding 10.

Answer 1

Let us use a Venn diagram to illustrate the subset of odd integers in the set of all positive integers not exceeding 10. Denote by $B$ the set of all positive integers not exceeding 10, that is $B=\{1,2,3,4,5,6,7,8,9,10\}.$ Let $A$ be its subset consisting of all odd integers, that is $A=\{1,3,5,7,9\}.$ Then the Venn diagram is the following: