Answer:
x = 3; y = 6; z =4
Step-by-step explanation:
The point J is the circumcentre of the triangle.
It is equidistant from the vertices. So
2x + 2 = 8
2x = 6
x = 3
2y - 4 = 8
2y = 12
y = 6
If FI = 9, HI = 9. Then,
3z - 3 = 9
3z = 12
z = 4
So, x = 3; y = 6; z =4.
f(x) is the same as y, so we can say y = f(x)
Writing f(x) < 0 means we want to find when y < 0.
Visually, we are looking at the graph when the curve is below the horizontal x axis.
This is the portion in red that I have marked in the diagram (see attached image below). I apologize for the numbers being blurry.
The left red portion is from negative infinity to -3. In terms of a compound inequality we write which in interval notation is
. The curved parenthesis tells the reader to exclude both endpoints.
The right red portion is from x = -1.1 to x = 0.9, excluding both endpoints. So we say which becomes the interval notation
. This is not ordered pair notation even though it looks identical to it.
-------------
<h3>Answer in interval notation:The "U" means "set union" which glues together the two separate intervals. Basically it's saying "x is either in the interval (-infinity, -3) or it is in the interval (-1.1, 0.9)"
