Question

It is given that;

T = [x: x is a multiple of 4 such that 0˂ x ˂ 16} and
U = {x: x is a positive integer and a factor of 24}

(i) List all the elements in T and U in set notation.
(ii) Draw a Venn diagram to represent the sets T and U.
(iii) From the Venn diagram, find T ∪ U.
(iv) Is T ∪ U = U? Explain.

Answer 1

Explanation:

(i) T = { 4, 8, 12}

U = {1,2,3,4,6,8,12,24}

(iii) TUU = {1,2,3,4,6,8,12,24}

(iv) yes, because all the elements in T are also the elements in U.