Systems of Inequalities Positive Solutions

What are the inequalities for this system of inequalities?

A solution to system of inequalities will...

• satisfy both inequalities

• satisfy at least one inequality

• not satisfy either inequality.

• Satisfy means make it a true statement.

  4>3 is a true statement.

Which point is a solution to the system of inequalities?

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)

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

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

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Which points are solutions to the system pictured? Select all that apply.

•  (0,0)

•  (4,4)

•  (0,2)

•  (-4,0)

• (2,-4)

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

• (0, 0)

• (2, 1)

• (2, 2)

• (-1, 1)

Which point is a solution of the system above?

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 1)

Select the region of the graph that is a solution to BOTH inequalities.

Select the region of the graph that does NOT have solutions to either of the inequalities.