Graphing Linear Inequalities Review

Graphing Linear Inequalities Review

Graphing linear inequalities is the same as graphing lines with some extra steps:

Shade Above or Below

Solid or Dotted Line

Shade Above or Below

 $y>\$  or  $y\ge\$  shade above

 $y<$  or  $y\le\$  shade below

Multiple Choice

Is it shaded above or below?

 $y\ge\frac{1}{3}x-7$  

• above

• below

Multiple Choice

Is it shaded above or below?

 $y<-2x+3$  

• above

• below

Dotted or solid?

 $y>\ or\ y\ <$  is dotted

 $y\ge\ or\ y\ \le$  is solid

Multiple Choice

Is it dotted or solid?   $y\ge3x-5$  

• dotted

• solid

Multiple Choice

Is it dotted or solid?  $y<\frac{1}{2}x+3$

 

• dotted

• solid

What are the solutions to a linear equality?

• Any point (x,y) that satisfies the inequality (makes it true)

• Any point (x,y) that is in the SHADED region when the inequality is graphed.

• Any point (x,y) that is ON THE LINE when the line is a SOLID LINE.

• Any points ON a dotted line are NOT solutions.

Multiple Select

Which point(s) are solutions to the inequality shown on the graph? Select all that apply.

• (0,5)

• (-2,2)

• (-3,4)

• (-1,1)

• (-4,0)

Multiple Select

Which point(s) are solutions to the inequality shown on the graph? Select all that apply.

• (-4,3)

• (1,3)

• (4,-5)

• (1,-5)

• (-3,-5)