To find: the graph of the solution set of the given system of inequalities.
The dotted line represents that the points on the line is not considered. The shaded region represents the solution set.
Hence, solution of system of inequalities is:
For
Given:
Concept Used:
Consider the equation form of any inequality kind of values. Then for some random values of x find the value of y plot the points on a graph and join them to find the graph of a linear equation with equality symbol.
For the region of an inequality equations consider any point that don’t lie on the line and check whether they satisfy the equation or not.
For an equation with
Calculation:
System of inequalities are:
Consider
Find and plot the values of x and y for
as mentioned below:
Plot these points and join them as shown in the figure 1.
Find and plot the values of x and y for
as mentioned below:
Plot these points and join them as shown in the figure 1.
Other way of finding the intersecting point:
Multiply equation (ii) by 3 then adding the equation (i) and (ii):
In equation (ii):
Solution of system:
Graphing the points:
Figure !.
For equation
For equation
For an equation with
Now check of the point
First check for
:
So, the region for
will be:
Now check for
:
So, the region for
will be:
Since the inequality is
The final graph of the solution set will be:
The dotted line represents that the points on the line is not considered. The shaded region represents the solution set.
Conclusion:
Solution of system of inequalities is:
For
Chapter 14 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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