Hello, Showcase_22!

Here's the first one.

. . Your punchlines are a bit off . . .

The left side: .

We have: .

Factor: .

There are two cases: [1] both factors are positive, [2] both factors are negative.

. .

. .

Therefore: .

The right side: .

Factor: .

There are two cases: [1] the factors are (-)(+), [2] the factors are (+)(-).

To determine the final solution, I had to make pretty pictures . . . Code:

x < 1 or x > 4
= = = = o - - - - - o = = = =
1 4
-1 < x < 5
- - o = = = = = = = = = = = o - -
-1 5

Combining them, we have:

Code:

- - o = = o - - - - - o = = o - -
-1 1 4 5

Therefore: .