Learn how to determine the feasible region of a system of inequalities

The video tutorial explains how to solve linear inequalities by graphing them. It begins with an introduction to the concept and proceeds to solve equations to prepare for graphing. The tutorial then demonstrates how to graph the inequalities using slope-intercept form, highlighting the importance of identifying slopes and intercepts. Finally, it covers the application of test points to determine the correct shading regions for the inequalities.

What is the first step in solving linear inequalities by graphing?

• Shade the graph

• Determine the test point

• Find the x-intercept

• Convert inequalities to equations

When rewriting an equation in slope-intercept form, what should you do if you divide by a negative number?

• Multiply by a positive number

• Add a constant to both sides

• Flip the inequality symbol

• Keep the inequality symbol the same

What is the y-intercept of the equation y = -2x + 3?

• -3

• -2

• 3

• 2

Which point is commonly used as a test point when graphing inequalities?

• (-1,-1)

• (2,2)

• (0,0)

• (1,1)

If the test point (0,0) satisfies an inequality, in which direction should you shade the graph?

• Away from the test point

• Towards the test point

• Above the line

• Below the line