Question

Solve: 5 | x + 2 | + 2 > 7 The answer has the form: ( − ∞ , A ) ∪ ( B , ∞ ) ( A , B ) State your solution using interval notation like above:

Answer 1

Given:

`5|x-3|+3>7`

Aim:

We need to find the value of x.

Step-by-step explanation:

Subtract 3 from both sides of the equation.

`5|x-3|+3-3>7-3`

`5|x-3|>4`

Divide both sides of the equation by 5.

`(5)/(5)|x-3|>(4)/(5)`

`|x-3|>(4)/(5)`

Square both sides.

`(x-3)^2>((4)/(5))^2`

`(x-3)^2>(16)/(25)`

`x^2-6x+9>(16)/(25)`

multiply

`x^2-6x+9>(16)/(25)`