Solve Inequalities by Graphing

Identify two solutions for the inequalities systems

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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The graph of 
y ≥  x - 3 
is shaded ???

• Over / Above

• Under / Below

An inequality using a > or a < has a ___________ line

• invisible

• solid

• dashed

Solve the system of inequalities by graphing.

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• 
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• 

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Match

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

Write the inequalities

• x≤-2
  y≤x-3

• y≤-2
  y≤x-3

• x≥-2
  y≤x-3

• y≥-2
  y≤x-3

Write the inequalities

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Is (-2,4) a solution to the system?

• Solution

• Not a solution