Respuesta :
Answer:
The complement of the given set in interval notation is[tex](-\infty,-5]\cup(6,\infty)[/tex]. 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
[tex]A=\{x|x\in R,-5<x\leq 6\}[/tex]
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.
[tex]U=\{x|x\in R\}[/tex]
The complement of the given set is
[tex]A^c=U-A[/tex]
[tex]A^c=\{x|x\in R,-\infty<x\leq -5,6<x<\infty\}[/tex]
Complement of the given set in interval notation is
[tex]A^c=(-\infty,-5]\cup(6,\infty)[/tex]
Therefore the complement of the given set in interval notation is[tex](-\infty,-5]\cup(6,\infty)[/tex]. It can we written as (-inf,5]U(6,inf).
