Graphing Linear Inequalities

Identify the graph for the linear inequality

  $y\ <\ x\ -\ 2$  

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Identify the graph of the following linear inequality.

 $-4x\ +\ 6y\ \le\ -12$  

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Identify the graph of the following linear inequality.

 $x\ -\ 2y\ >\ 6$  

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How can I tell if an inequality will have a solid boundary line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

How can I tell if an inequality will have a dashed boundary line?

• It does not have an equal sign.

• The symbol is less than than.

• The symbol does not have "or equal to."

• You just guess.

When graphing  $y<\frac{3}{5}x-4$  , you will draw which of the following? Select a type of line and the shading.

• A dotted line

• A solid line

• Shade above

• Shade below

When graphing  $y\ge-\frac{2}{7}x+1$  , you will draw which of the following? Select a type of line and the shading.

• A dotted line

• A solid line

• Shade above

• Shade below

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, 20)
• (3, 5)
• (0, -2)

Identify the graph of the following linear inequality.

 $y\ge\frac{3}{2}x-5$  

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Which of the following equations match the given graph?

• $y\le-\frac{3}{4}x+3$

• $y\ge-\frac{3}{4}x+3$
  

• $y<-\frac{3}{4}x+3$
  

• $y>-\frac{3}{4}x+3$