Systems of Inequalities

Systems of Inequalities

Solutions

A solution is in the area where the shadings overlap

Multiple Choice

Which point is a solution?

• (0, 6)

• (-3, 5)

• (1, 0)

• (-4, 3)

Multiple Choice

Is (0,0) a solution to the system?

• Solution
• Not a solution

Multiple Choice

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

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Signs Matter

< or > creates dashed lines

 $\le\ or\ge$  creates solid lines
 $<\&\le$  typically shades below
 $>\&\ge$  typically shades above

Multiple Choice

Solid or dashed line?  Y <

• Solid
• Dashed

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

Multiple Choice

Solid or dashed line? Y ≥

• Solid

• Dashed

Multiple Choice

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

Multiple Choice

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

Poll

Rate yourself on graphing inequalities

• Not a clue. See you at office hours

• Starting to get the hang of this

• Overall I think I'm getting it, still making some mistakes

• A+ here I come!