Graphing Absolute Value Inequalities

Why do we graph absolute value inequalities on the XY coordinate plane?

• Because it is a standard practice.

• Because it is easier to understand.

• Because we have two variables, X and Y.

• Because it looks better.

What shape does the graph of an absolute value function typically take?

• A circle

• A parabola

• A V or an upside-down V

• A straight line

What must you do first to isolate the variable y in the inequality?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply by -2

• Divide by -2

What happens to the inequality when you divide both sides by a negative number?

• It becomes undefined

• It stays the same

• It flips

• It becomes an equation

What is the simplified form of the inequality after dividing by -2?

• y > -|x - 2|/2 + 3

• y < -|x - 2|/2 + 3

• y > |x - 2|/2 - 3

• y < |x - 2|/2 - 3

What is the vertex of the graph for the inequality y < -1/2|x - 2| + 3?

• (2, -3)

• (-2, 3)

• (2, 3)

• (-2, -3)

What does the negative sign in front of the absolute value indicate about the graph?

• It is a reflection over the y-axis

• It is a horizontal stretch

• It is a reflection over the x-axis

• It is a vertical stretch

How do you determine the slope for graphing the inequality?

• By using the coefficient of x

• By using the y-intercept

• By using the vertex

• By using the absolute value

Why is the line dashed when graphing the inequality y < -1/2|x - 2| + 3?

• Because it looks better

• Because it is a standard practice

• Because the solution is not on the border

• Because the solution is on the border

Where do you shade the region for the inequality y < -1/2|x - 2| + 3?

• Outside the V

• Inside the V

• Above the V

• Below the V