Linear Relationships - Inequalities Worksheet With Answers (Page 3 of 5) in pdf

Linear Relationships - Inequalities Worksheet With Answers Page 3

PART 2: Inequalities in TWO Variables:

5.) Test each coordinate below to see if it is a solution to the inequality 7x – 9y

134.

a.) ( -6 , 7 )

b.) ( 5, -11 )

c.) ( 9, -9)

6.) Convert your equation from #5 into slope intercept form. Show your steps.

GRAPHING LINEAR INEQUALITIES ON A COORDINATE PLANE:

How could we graph the inequality

on a coordinate plane? In order to conceptualize what this

graph would look like, answer the following questions:

First, let’s graph the line by



pretending y

7 is

actually the equation y

Next, lets test and see if points on the line will satisfy



the inequality y

7 by substituting the values.

Choose two points on the line and test them and see what

happens?

How can we change the graph to represent what happened above?



Choose a point “above” the line and test it in the inequality. What do you observe?



Choose a point “below” the line and test it in the inequality. What do you observe?



How can we change the graph to represent where ALL of the Solutions will lie?



Linear Relationships - Inequalities Worksheet With Answers Page 3