Absolute Value Inequality 1
Absolute Value Inequality 2
Absolute Value Equations
Absolute Value Equations 2
Graphing
100

|r + 1| <= 2

{r | -3 <= r <= 1}

100

|x + 8| < 16

x < 8 and x > -24

{x | -24 < x < 8}

100

How many solutions exist for x when the absolute value an expression with x equals a positive number? |x| = 2

What is - two solutions.

100

What are two possible solutions for |x| = 3

{3, -3}

100

What is the definition of "absolute value"?

What is the distance from zero (on a number line)?

200

|2h - 3| >= 9

{h| h >= 6 or h <= -3}

200

|4p + 2| >= 10

{p| p >= 2 or p <= -3}

200

How many solutions exist for x when the absolute value of an expression with x equals zero?

What is - one solution?

200

5 | q + 6 | = 20

What is { -2 , -10 }

200

When graphing inequalities, when does the "reference number" on a number line represented with an open circle?

What is when the inequality symbol is either > (greater than) or < (less than)?

300

|v + 5| - 6 < -5

{v| -6 < v < -4}

300
|x - 2| - 5 < -2

{x| -1 < x < 5}

300

How many solutions for x exist when the absolute value of an expression with x is equal to a negative number. |x| = -1

What is - no solution?

300

| p + 1 | + 10 = 5

What is { No Solution }

300

When graphing an inequality, when should the "reference number" for the solution be represented with a closed circle on the number line?

What is "when the inequality is GT and equal or LT and equal"?

400

9|r - 2| - 10 < - 73

{r| ∅ }

400

7|n/3| - 9 < 12

{n| -9 < n < 9}

400

What is the solution to |x+4| - 4 = -3

What is {-3, -5} ?

400

3 | 2a - 4 | = 0

What is { 2 }

400

On a number line, -3 is circled and the number line is shaded to infinity for all values less than -3.

What is x < -3?

500

4|6 - 2a| + 8 <= 24

{a| 1<= a<= 5}

500

9|3n - 2| + 6 > 51

{n| n > 7/3 or n < -1}

500

What is the solution to 3|x-3| - 5 = 4?

What is { 6, 0 }?

500

-3 | 3t - 2 | -12 = -6

What is { No Solution }

500

What inequality type is graphed by a line segment?

What is an "and compound inequality"?