ALGI_SD_05.07

Multiple Select

Rafael graphed a system of linear inequalities. Which TWO ordered pairs are a part of the solution set?

• $$(5,3)$$

• $$(−3,−5)$$

• $$(0,−10)$$

• $$(0,1)$$

• $$(−2,−7)$$

Open Ended

Why is $$\left(-2,-7\right)$$ a solution and not $$\left(0,1\right)$$ ?

Multiple Choice

Which graph represents the system of linear inequalities below?

$$y\le-x-4$$

$$y\ge x+4$$

Multiple Choice

Gabriela wrote a system of linear inequalities on her whiteboard.

$$y\le\frac{1}{2}x-5$$

$$x+y\le-2$$

Which of the following is in the solution set of this system of inequalities?

• $$(−5,2)$$

• $$(2,−5)$$

• $$(5,−2)$$

• $$(−2,5)$$

Multiple Choice

Vincent graphed the boundary lines of the system of linear inequality shown to create four sections on the grid. ​

$$y\le-4x-2$$

$$y\ge\frac{1}{3}x+6$$

Which section of the plane represents the solution set to the system of inequalities?

• Section A

• Section B

• Section C

• Section D

Hotspot

Dora is in the middle of graphing the system of inequalities:

$$x-8y\ge-27$$

$$x+y\le0$$

However, she forgot to consider whether the boundary lines should be solid or dotted, and she has not shaded the solution set region. On Dora’s in-progress graph, select all the points that are in the solution set of the system of inequalities.

Drag and Drop

Which of the points listed is in the solution set of this system of inequalities?

a. (2, 4) ​

Placeholder

b. (3, 2) ​ ​

Placeholder

c. (8, −1)​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

Not in the solution set

In the solution set

Multiple Choice

A system of linear inequalities is shown below. Which graph shows the solution set of this system of inequalities?

$$5x+3y\ge18$$

$$y\le-\frac{7}{3}$$

Multiple Choice

Carrie graphed the boundary lines of the system of linear inequality shown to create four sections on the grid.

$$6x-2y\ge16$$

$$y<-\frac{2}{3}x+2$$

Which section of the plane represents the solution set to the system of inequalities?

• Section A

• Section B

• Section C

• Section D