About Graphing Inequalities:

When we graph a linear inequality in two variables, we have two different approaches. We can solve for y, graph the boundary line, and shade above the line for a greater than or below the line for a less than. We can also graph the boundary line and use a test point.


Test Objectives
  • Demonstrate the ability to draw the boundary line
  • Demonstrate the ability to graph an inequality with the test point method
  • Demonstrate the ability to graph an inequality by solving for y
Graphing Inequalities Practice Test:

#1:

Instructions: Graph each.

a) 5x + 3y > -9


#2:

Instructions: Graph each.

a) y > -3


#3:

Instructions: Graph each.

a) 2x + 3y < 9


#4:

Instructions: Graph each.

a) x ≥ 1


#5:

Instructions: Graph each.

a) 5x - 3y ≥ 0


Written Solutions:

#1:

Solutions:

a)

graph 5x + 3y > -9

#2:

Solutions:

a)

graph y > -3

#3:

Solutions:

a)

graph 2x + 3y < 9

#4:

Solutions:

a)

graph x ≥ 1

#5:

Solutions:

a)

graph x ≥ 1