Question

When expressing sets, you may write "inf" for infinity and "U" for union.

Answer 1

Answer:

The complement of the given set in interval notation is$(-\infty,-5]\cup(6,\infty)$. It can we written as (-inf,5]U(6,inf).

Step-by-step explanation:

The given set in interval notation is

(−5,6]

It means the set is defined as

$A=\{x|x\in R,-5$

If B is a set and U is a universal set, then complement of set B contains the elements of universal set but not the elements of set B.

Here, universal set is R, the set set of all real numbers.

$U=\{x|x\in R\}$

The complement of the given set is

$A^c=U-A$

$A^c=\{x|x\in R,-\infty$

Complement of the given set in interval notation is

$A^c=(-\infty,-5]\cup(6,\infty)$

Therefore the complement of the given set in interval notation is$(-\infty,-5]\cup(6,\infty)$. It can we written as (-inf,5]U(6,inf).