How to graph linear inequalities

The video tutorial explains how to graph linear inequalities by first graphing the corresponding linear equation. It covers converting equations to slope-intercept form, determining if boundary lines are dashed or solid based on inequality signs, and using test points to decide shading. Key points include flipping the inequality sign when multiplying or dividing by a negative number and using 0,0 as a test point unless the line passes through it.

What must you remember to do when multiplying or dividing by a negative number while solving a linear inequality?

• Subtract a constant from both sides

• Multiply both sides by zero

• Flip the inequality sign

• Add a constant to both sides

How do you determine if the boundary line of a graph should be dashed?

• If the inequality sign is equal to

• If the inequality sign is less than or equal to

• If the inequality sign is less than or greater than

• If the inequality sign is greater than or equal to

What does a solid line on a graph of a linear inequality indicate?

• The line represents a quadratic equation

• The line is not part of the solution

• The inequality is unsolvable

• The points on the line are part of the solution

Which test point is commonly used to determine the shading of a graph?

• (1,1)

• (0,0)

• (-1,-1)

• (2,2)

What should you do if the line of the graph passes through the test point (0,0)?

• Do not shade the graph

• Shade both sides of the line

• Assume the inequality is false

• Use a different test point