Question

Let A (1, 3, 5, 7}, B (5, 6, 7, 8}, C (5, 8} D {2, 5, 8}, and U 1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement shown below is true or false. If it is false, then give the reason. A#(7, 5, 3, 1 A. False; A has different elements than those listed. B. False; the elements in A are in a different order. C. False; the elements in A are the same as those listed D. True

Answer 1

True

Explanation:

Given are some sets A, B, C, D and Universal set U.

We have

`A={1,3,5,7}`

When we change the order of elements of A in any manner also the set A' thus obtained will be equal to A only

Hence here A' =
`{7,5,3,1}`=A

This is because whenever we take any element x in A this belongs to A'

Hence
`A⊂A'`

Similarly any element y in A' also belongs to A

So A⊂A'

Together we have
`A=A'`

Option d true