Graphing 2 Variable Absolute Value Inequalities

What method is used in the video to graph absolute value inequalities?

• Substitution method

• Table method

• Graph shifting method

• Chart method

What is the first step in graphing the inequality y < |x + 2|?

• Graphing the parent function y = |x|

• Shifting the graph to the left

• Shading the upper half

• Drawing a solid line

How do you determine where to shade for the inequality y < |x + 2|?

• Shade the lower half

• Shade the right side

• Shade the upper half

• Shade the left side

What does the '2' in front of the x in the inequality y ≤ 2|x| - 4 indicate?

• A reflection

• A vertical compression

• A vertical stretch

• A horizontal shift

For the inequality y ≤ 2|x| - 4, what does the '-4' at the end indicate?

• Shift left 4 units

• Shift right 4 units

• Shift down 4 units

• Shift up 4 units

In the inequality y > -1/3|x - 3|, what does the negative sign in front of the fraction indicate?

• A vertical compression

• A reflection over the x-axis

• A horizontal shift

• A vertical stretch

How do you determine the horizontal shift for the inequality y > -1/3|x - 3|?

• By looking at the coefficient of x

• By setting x - 3 equal to zero

• By looking at the constant term

• By setting the inequality to zero

What type of line is used for the inequality y > -1/3|x - 3|?

• Bold line

• Dashed line

• Solid line

• Double line

When graphing absolute value inequalities, what does a solid line indicate?

• The inequality is non-strict

• The points on the line are not included in the solution

• The points on the line are included in the solution

• The inequality is strict

What should you keep an eye out for when graphing absolute value inequalities?

• The color of the graph

• The greater than or less than signs

• The thickness of the lines

• The type of graph paper