Learn how to determine the feasible region of three linear inequalities ex 16

The video tutorial explains how to graph a system of linear inequalities by treating them as equations initially, then determining the shading and feasible region. It covers using both standard and slope-intercept forms for graphing and emphasizes the importance of dashed boundary lines for inequalities that are not inclusive. The tutorial concludes with determining the feasible region by using test points to verify which side of the boundary lines to shade.

What is the first step in graphing a system of linear inequalities?

• Find the test points.

• Convert inequalities to equations for graphing.

• Determine the feasible region.

• Shade the solution area.

When graphing the first inequality, what form is used to find the intercepts?

• Point-slope form

• Vertex form

• Standard form

• Slope-intercept form

What is the x-intercept of the first inequality when graphed?

• (3, 0)

• (0, -3)

• (-2, 0)

• (0, 2)

Which form is used to graph the second inequality?

• Quadratic form

• Standard form

• Slope-intercept form

• Point-slope form

What is the slope of the second inequality when expressed in slope-intercept form?

• 2/5

• -2/5

• 5/2

• -5/2

What is the y-intercept of the third inequality?

• (0, -5)

• (-5, 0)

• (5, 0)

• (0, 5)

How do you determine the feasible region for the system of inequalities?

• By finding the intersection of all boundary lines.

• By using only the x-intercepts.

• By shading the area that satisfies all inequalities.

• By calculating the area under the curve.