Which compound inequality is represented by the graph? (A.) -2 (B.) -2_ (C.) x<-2 or x_>4
(D.) x_<-2 or x>4

Choice C

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Explanation:

The blue portion on the left is represented by as it describes values smaller than -2. Notice the open hole at -2 which indicates we do not include this value. So that's why we go with instead of

The blue portion on the right is represented as describing values that are equal to 4, or larger than 4.

So overall, the entire graph visually represents x values such that

Side note: the "or" means we pick one region or the other, but not both regions at the same time.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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