Question

20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c​

Answer 1

`x (-1,7)`

Explanation:

We need to square a binomial.

The following rule is applied:

`(5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2`

In our example,

`A^2+2AB+B^2=(A+B)^2`

A is equal to 5x,

B is equal to -19 and

N is equal to 2.

`5^2*x^2-2*5x*19+19^2<x^2x-23+23^2`