Question

If Upper A equals StartSet x | x is an odd integer EndSet commaA=x ,  Upper B equals StartSet x | x is an even integer EndSet commaB= x is an even integer, Upper C equals StartSet 2 comma 3 comma 4 comma 5 EndSet commaC={2, 3, 4, 5}, and Upper D equals StartSet 13 comma 14 comma 15 comma 16 EndSet commaD={13, 14, 15, 16}, list the​ element(s) of the following set.

C union∪ D

Answer 1

`C\cup D=\{2,3,4,5,13,14,15,16\}`

Explanation:

The given set are

`A=\{x|x\text{ is an odd integer}\}`

`B=\{x|x\text{ is an even integer}\}`

`C=\{2,3,4,5\}`

`D=\{13,14,15,16\}`

We need to find the elements of the set C∪D.

The union of two sets is the set of elements which are in set 1, in set 2, or in both set 1 and set 2.

The union of set C and set D is the set of elements which are in set C, in set D, or in both C and D.

`C\cup D=\{2,3,4,5,13,14,15,16\}`

Hence,
`C\cup D=\{2,3,4,5,13,14,15,16\}`.

Answer 2

C = {2, 3, 4, 5} and D = {13, 14, 15, 16}

C U D = {2, 3, 4, 5, 13, 14, 15, 16}