Modeling Systems of Inequalities

Ninja Master Leon purchases ninja equipment. Shurikens cost 20$ each, and invisibility potion costs 18$ each. He has a budget of $150.

Create an inequality to represent the situation. Let s represent the number of shurikens, and let p represent the number of potions.

• 18s+20p≤150

• 18s+20p>150

• 20p+18s<150

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)

Solve the system of inequalities by graphing.

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Solve the system of inequalities by graphing.

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Select the correct graph for each inequality.

• A

• B

• C

• D

Select the correct graph for each inequality.

• A

• B

• C

• D

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

Select the correct graph for each inequality.

• A

• B

• C

• D

Which point is a solution?

• (0, 6)

• (-3, 5)

• (1, 0)

• (-4, 3)