Solve Combined Inequalities

Solve the compound inequality.

• –3 < x ≤ 13

• –7 ≤ x < 9

• –7 < x ≤ 9

• –3 ≤ x < 13

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. Is (0, 0) a solution? *You will be required to graph on the test.

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. Is (0, 0) a solution? *You will be required to graph on the test.

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. Is (0, 0) a solution? *You will be required to graph on the test.

Which point would be a solution to the system of linear inequalities?

• (12,−8)

• (4,−4)

• (−4,−10)

• (0,−6)

Which point would be a solution to the system of linear inequalities?

• (8,5)

• (12,−8)

• (−8,−10)

• (−4,6)

Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.

• (−4,−2)

• (−7,−3)

• (1,−10)

• (2,7)

Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.

• (10,10)

• (−5,−1)

• (8,1)

• (−3,5)

Lauren owns a food truck that sells tacos and burritos. She only has enough supplies to make 116 tacos or burritos. She sells each taco for $3.25 and each burrito for $7.75. Lauren must sell no less than $710 worth of tacos and burritos each day. If 72 burritos were sold, determine all possible values for the number of tacos that Lauren must sell in order to meet the requirements.

Yasmin has some dimes and some quarters. She has at most 16 coins worth a minimum of $3.10 combined. If Yasmin has 12 quarters, determine the minimum number of dimes that she could have.