Master Graphing a system of three linear inequalities

The video tutorial explains how to graph and solve a system of three linear inequalities. It covers identifying the feasible region that satisfies all inequalities by graphing them on the same plane. The tutorial includes examples of graphing vertical and horizontal lines, using slope-intercept form, and applying test points to verify solutions. It also discusses bounded and unbounded feasible regions and provides step-by-step instructions for rewriting equations in slope-intercept form.

What is the main goal when graphing a system of three linear inequalities?

• To find the exact intersection point

• To identify the feasible region

• To calculate the y-intercept

• To determine the slope of each line

When graphing the inequality X < 6, what type of line is used?

• Horizontal solid line

• Vertical dashed line

• Vertical solid line

• Horizontal dashed line

How do you determine the shading direction for the inequality Y > -1?

• Shade below the line

• Shade above the line

• Shade to the left of the line

• Shade to the right of the line

What is the characteristic of a feasible region when it is unbounded?

• It is a closed shape

• It extends infinitely in one direction

• It is a triangle

• It is a rectangle

What is the first step in rewriting an equation in slope-intercept form?

• Multiply both sides by the y-coefficient

• Divide both sides by the x-coefficient

• Subtract the x-term from both sides

• Add the x-term to both sides

When using a test point for the inequality 3x + 2y > -6, which point is commonly used?

• (2,2)

• (0,0)

• (1,1)

• (3,3)

What type of line is used for the inequality Y ≤ -1?

• Dotted line

• Double line

• Solid line

• Dashed line

In the inequality Y < 5, what does the number 5 represent?

• Slope

• X-intercept

• Y-intercept

• Origin

What is the slope of the line represented by the equation Y = -2X - 3?

• -2

• 3

• 2

• -3

What is the feasible region in a system of inequalities?

• The area where all inequalities are false

• The area where all inequalities are true

• The area above all lines

• The intersection point of all lines