Hello, rlarach!
Here's some help . . .
1) Determine the area of the region enclosed by the curve:
. . If we sketch the graph, the answer is obvious. Code:

 (1,2)
 *
 * *
 * *
(0,1)* *(2.1)
 * *
 * *
  +   *     
 (1,0)

2) Let x be a positive real number not equal to 1.
Determine the region of the xy plane containing the solution
to the inequality: .
We have: .
Then: .
Hence: .
Code:
::::: ::::::::*
::::: :::*
:::::*
::*
*
 +   +   
* 1
::*
:::::*
::::: :::*
::::: ::::::::*
This is the region to the left of the parabola:
. . and to the right of the yaxis, except where