Graphing Systems of Equations and Inequalities Solutions

Solve the system of equations by graphing.

• (0, 3)

• (5, 5)

• (-4, 6)

• (6, -4)

Which system of inequality is shown?

• y > -1/5x - 1/2

  y ≥ -2x - 4

• y > -1/5x - 1/2

  y ≤ -2x - 4

• y ≥ -1/5x - 1/2

  y ≤ -2x - 4

• y < -1/5x - 1/2

  y ≥ -2x - 4

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Identify two solutions for the inequalities systems

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

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

• Over / Above

• Under / Below

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

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

• invisible

• solid

• dashed

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

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)