Representing solutions of linear inequalities in two variables on a graph

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Use the picture to answer the question.

• A

• B

• C

• D

What is the y-intercept based on the inequality?

 $y\le\frac{3}{4}x+3$  

• 3

•  $\frac{3}{4}$  

•  $\frac{3}{4}x$  

• -3

When graphing "AND" inequalities, the shading

• always connects the two boundary points.

• always points away from each boundary point

• points in same direction (both left)

• points in same direction (both right)

• (0, 2)

• (5, -3)

• (2, 0)

• (-4, 4)

• (8, -2)

Solve the system of inequalities by graphing.

• 
• 
• 
• 

What is the meaning of
Unbounded?

• A region when the graph of a system of constraints is a polygonal region. 
• The intersection of the graphs in a system of constraints.
• A system of inequalities that that forms a region that is open.
• A system of equations that has an infinite number of solutions.

Which system of inequalities matches the graph?

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < 2

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < -2

Which section are the solutions in? في أي منطقة توجد الحلول؟

• A

• B

• C

• D

Which point is part of the solution?

• (4,0)

• (0,4)

• (10,5)

• (5,10)