Question

4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

set A = numbers in U that divide into 12 with no remainder, set B = numbers in U that divide into 16 with no remainder, and set C = the numbers in U that divide into 20 with no remainder.

a. Made a Venn diagram showing the elements of the sets U, A, B, and C.

b. Represent ! B ∪ C in everyday English AND by shading the appropriate region of the Venn diagram.

c. Represent “those number that divide into 12 or 16 with no remainder” with symbols and by shading the appropriate regions of a Venn diagram.

Answer 1

Here , A = {1,2,3,4,6,12}

B= {1,2,4,8,16}

C= {1,2,4,5,10,20}