Graphing Linear Equations In Two Variables Worksheets Page 3
ADVERTISEMENT
1
2
3
4
5
6Solving a System of Linear Inequalities
To solve a system of linear inequalities we need to do it graphically since the solution to a system of
linear inequalities is the set of points whose coordinates satisfy all the inequalities in the system, or
where both shaded areas overlap. Graph the lines as previously shown.
1
< −
+
y
x
2
Example:
Determine the solution to the following system of inequalities
2
− ≤
x y
4
Step 1 – Change the second inequality to slope-intercept form.
−
≤
x
y
4
−
−
≤
−
x
x
y
4
x
−
≤
−
+
← Remember to switch the inequality sign since
y
x
4
we are dividing by a negative number.
≥ x
−
y
4
Step 2 – Graph both inequalities in slope-intercept form and shade the solution
for each inequality. Since the first inequality has the sign < the line is
dashed. The second inequality has the sign ≥ so the line is solid.
≥ −
y
x
4
Solution to the
system of
inequalities
1
< −
+
y
x
2
2
5
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education