How to graph and shade a system of linear inequalities

The video tutorial covers solving two inequalities on the same graph. It begins with an introduction to the concept, followed by rewriting equations in slope-intercept form. The instructor then explains how to identify the slope and y-intercept, which are crucial for graphing. The process of graphing inequalities is demonstrated, including the use of test points to determine shading. The tutorial concludes with identifying the feasible region where both inequalities are true.

What is the main difference when graphing two inequalities compared to one?

• You use a different coordinate system.

• You graph them on separate axes.

• You graph both on the same coordinate axis.

• You only graph one and ignore the other.

How should you express the slope when identifying it from an equation?

• As a percentage.

• As a fraction.

• As a decimal.

• As a whole number.

What is the y-intercept of the equation y = -x + 4?

• (0, 4)

• (4, 4)

• (4, 0)

• (0, -4)

When graphing an inequality with a 'less than or equal to' sign, what type of line should be used?

• No line

• Dotted line

• Solid line

• Dashed line

If a test point makes an inequality false, where should you shade?

• Towards the test point

• Do not shade

• Away from the test point

• On the test point