Question

What is the solution to the inequality below?
x² > 25

Answer 1

Given inequality:

`x^(2)>25`

To find:

The solution of the inequality:

Solution:

`x^(2)>25`

For
`u^(n)>a,` if n is even then
`u<-\sqrt[n]{a}` or
`u>\sqrt[n]{a}`.

`x<-√(25)` or
`x>√(25)`

25 can be written as 5².

`x<-√(5^2)` or
`x>√(5^2)`

Square and square root get canceled.

`x<-5` or
`x>5`

Interchange the inequality.

`x>5` or
`x<-5`

The solution is x > 5 or x < -5.