The solution for the compound inequality is
Explanation:
The equations are and
To find the solution set for these compound inequalities, we need to solve the inequality.
First, we shall solve the inequality
Adding both sides of the equation by 10, we have,
Dividing both sides by 3.5, we get,
Now, we shall solve the inequality ,
Adding both sides of the equation by 9, we have,
Dividing both sides by 8, we get,
Thus, the solution set for the inequalities and
is
Answer:
Step-by-step explanation:
We have a piesewise function composed of three pieces. two line segments and one point.
The first line cuts at point (0,0) and ends at point (3, -1)
If we use these two points we can find the equation of the line.
The slope m is:
So the equation is:
As the line cuts in (0,0) then and the equation is:
The equation of the second line is:
Now we can find f(x) (although it is not necessary to find the equation of f(x) because we have its graph)
if
;
if
;
if
.
The limit of f(x) when x tends to 3 from the left is the limit of the function when x approaches 3 from the left. If x approaches 3 from the left then
. If
then f(x) is given by the line
. Then the limit is -1 as seen in the graph
