Solve and Graph Inequalities Solution or No Solution

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Solve.
-5|x - 4| > -20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

Why do we graph inequalities?

• There is no good reason to graph inequalities.

• We need to practice our art skills.

• THE GRAPH SHOWS ALL THE SOLUTIONS TO THE INEQUALITY.

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Solve the system of inequalities by graphing.

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

• Solution

• Not a solution

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

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Which of the following is NOT a solution to the systems of inequalities?

• (0, 0)

• (-4, 0)

• (2, 2)

• (3, 1)