Question

Suppose T= {-8,-4,0,4,8,12,16,20} and K= {-3,-2,-1,0,1,2,3,4,5,6}. What is T U K?

Answer 1

It's all the numbers that sets T and K consist of. However, you can't repeat any numbers.

Answer 2

Answer:  $T\cup K=\{-8,-4,-3,-2,-1,0,1,2,3,4,5,6,8,12,16,20\}.$

Step-by-step explanation:  We are given the following two sets :

T= {-8, -4, 0, 4, 8, 12, 16, 20}   and   K= {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}.

We are to find T U K.

We know that

union of two sets A and B, denoted by A U B is a set that contains all he elements that are present in set A or B or both.

Therefore, the union of sets T and K is given by

$T\cup K\\\\=\{-8,-4,0,4,8,12,16,20\}\cup\{-3,-2,-1,0,1,2,3,4,5,6\}\\\\=\{-8,-4,-3,-2,-1,0,1,2,3,4,5,6,8,12,16,20\}.$

Thus, $T\cup K=\{-8,-4,-3,-2,-1,0,1,2,3,4,5,6,8,12,16,20\}.$