Graphing Simultaneous Linear Inequalities

This video tutorial teaches how to find solutions to simultaneous linear inequalities by graphing. It begins with an introduction to shaded areas on graphs and reviews solutions to systems of equations. The tutorial then explains how to graph inequalities on a number line and linear inequalities with boundary lines. It covers graphing two inequalities on the same line and finding the solution to a system of linear inequalities by identifying the double shaded area.

What is a solution to a system of equations?

• A value that makes one equation true

• A value that makes both equations true

• A value that makes both equations false

• A value that makes neither equation true

How is an inequality in one variable typically represented on a number line?

• As a point with no ray

• As a ray with an open or closed point

• As a line with multiple points

• As a shaded area

What does a broken boundary line indicate in a graph of a linear inequality?

• The inequality is undefined

• The inequality has no solutions

• The points on the line are not solutions

• The points on the line are solutions

In the inequality y > 4x, which side of the line should be shaded?

• On the line

• Neither side

• Above the line

• Below the line

When graphing x > -3 and x ≤ 4, what is the solution region?

• x is between -3 and 4, excluding 4

• x > 4

• x is between -3 and 4, including 4

• x < -3

What does the double shaded area represent when graphing two inequalities?

• The solution to only one inequality

• The solution to neither inequality

• An area with no solutions

• The solution to both inequalities

How do you determine which region to shade for y ≥ 1/2x + 2?

• Do not shade any region

• Shade on the line

• Shade below the line

• Shade above the line