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2 answers:
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Answer:
Option (b) is correct.
The sum of given expression is
Step-by-step explanation:
Given:Expression
We have to find the sum of the given expression and choose the correct from the given options.
Consider the given expression .
can be written as
Also, can be written as
Now, the given expression becomes,
.
Now, adding like term, terms having same variable with same degree.
.
Thus, The sum of given expression is
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.
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<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)"
