Graphing a system of inequalities

The video tutorial explains graphing linear equations and inequalities using slope-intercept form and intercepts. It covers how to determine whether to use dashed or solid lines based on inequalities and demonstrates shading to find feasible regions. The tutorial emphasizes using test points to verify solutions and highlights the importance of clearly identifying feasible regions on graphs.

What is the x-intercept of the equation 2x + y = 4?

• x = 4

• x = 0

• x = -2

• x = 2

Why is a dashed line used when graphing certain inequalities?

• To highlight the x-intercept

• To represent a vertical line

• To show the line is not part of the solution

• To indicate the line is part of the solution

What must you remember to do when dividing an inequality by a negative number?

• Add a constant to both sides

• Subtract a constant from both sides

• Multiply by a positive number

• Flip the inequality sign

How do you determine the shading for a graph of an inequality?

• By using the slope-intercept form

• By using test points

• By finding the x-intercept

• By calculating the slope

What is the best test point to use when determining shading, unless the line passes through it?

• (-1,-1)

• (2,2)

• (0,0)

• (1,1)

What does the feasible region represent in a graph of inequalities?

• The area where all solutions are valid

• The area outside the graph

• The intersection of the x and y axes

• The line itself

What happens if you do not clearly show the feasible region on a graph?

• The shading is incorrect

• The graph becomes invalid

• The solution set is incomplete

• The intercepts are wrong