What is meant by a system of inequalities?
1 Answer
Aug 29, 2015
A system of inequalities is a set of inequalities that you deal with all at once.
Explanation:
Solving a system of inequalities means graphing each individual inequality and then finding the overlaps of the various solutions.
EXAMPLE:
Solve the following system:
Solution:
Step 1: Solve as many of the inequalities as possible for
Step 2. Graph each inequality, shading the area that satisfies the condition.
(a) Graph
Graph1
(b) Graph
Graph2
(c) Graph
This is a ">" inequality, so you use a dashed line to show that
Graph3
(d) Shade the area that satisfies all the inequalities.
Graph4
And you have solved your system of inequalities.