Learn how to graph a system of three linear inequalities ex 14

The video tutorial explains how to graph a system of three linear inequalities. It covers the process of graphing each inequality separately, identifying slopes and intercepts, and determining whether boundary lines are solid or dashed. The tutorial also demonstrates how to test solutions using a test point and how to shade the regions that satisfy all inequalities, ultimately identifying the solution region for the system.

What is the first step in graphing a linear inequality?

• Plotting the x-intercept

• Identifying the slope and y-intercept

• Drawing a vertical line

• Finding the midpoint

How do you determine if a boundary line should be solid?

• If the inequality is strict

• If the y-intercept is zero

• If the inequality includes 'or equal to'

• If the slope is positive

What does a horizontal line represent in the context of graphing inequalities?

• A vertical boundary

• A variable slope

• A constant y-value

• A constant x-value

Which test point is commonly used to determine the solution region for inequalities?

• (2,2)

• (-1,-1)

• (0,0)

• (1,1)

What does it mean if a test point satisfies an inequality?

• The point is outside the solution region

• The point is on the boundary line

• The point is within the solution region

• The point is irrelevant