Answer:
Step-by-step explanation:
Given:
The two points on the line are:
Now, for a line with two points on it, the slope of the line is given as:
For the points , slope is:
Now, for a line with slope 'm' and a point on it is given as:
Plug in all the values and determine the equation of the line. This gives,
Therefore, the equation of the line is:
Given:
The inequalities are:
or
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
or
Solve the above inequalities separately.
Divide both sides by -5.
...(i)
And,
Divide both sides by 2.
...(ii)
From (i) and (ii). we get
or
The interval notation of the solution is .
The graph of the solution is shown below.
