Graphing and Interpreting Inequalities

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Solve each of the following systems of linear inequalities a graphing approach. Verify using a graphing calculator. Which of following are the vertices?

• (2, 0), (4, 5), (6, 0)

• (2, 0), (3, 5), (0, 6)

• (0, 2), (3.5, 4.5), (6, 2)

• (0, 0), (3, 5), (6, 0)

Which graph matches the inequality
2 > p?

• A

• B

• C

• D

Which graph matches the inequality
-2 ≥ n?

• A

• B

• C

• D

Which graph matches the inequality
r ≥ -6?

• A

• B

• C

• D

Which graph matches the inequality
 ½ ≤ a?

• A

• B

• C

• D

Which graph matches the inequality 
b ≥ -³/₂?

• A

• B

• C

• D

Which graph matches the inequality 
¹/₂ > b?

• A

• B

• C

• D

Which graph matches the inequality 
x < -1.1?

• A

• B

• C

• D

Which graph matches the inequality
x < -2.8?

• A

• B

• C

• D