A2 - Solving Absolute Value Inequalities Practice

Front

What is an absolute value inequality?

Back

An inequality that contains an absolute value expression.

Front

Which compound inequality represents the graph? Options: m < -1 OR m > 2, -1 < m < 2, m > -1 OR m < 2, 2 > m > -1

Back

m < -1 OR m > 2

Front

| x - 2 | > 3
Is this an "and"  or an "or" problem?

Back

or

Front

What is the correct first step? Options: divide both sides by 10, multiply both sides by 10, make it two inequalities with an "or", make it two inequalities with and "and" or a between statement

Back

multiply both sides by 10

Front

| -8x | < 8 What is the correct first step? Options: separate into two inequalities with an "and" or a between statement, separate into two inequalities with an "or" statement, divide both sides by -8, add 8 to both sides

Back

separate into two inequalities with an "and" or a between statement

Front

What is ALWAYS the first GOAL in solving an absolute value inequality?

Back

isolate the absolute value expression

Front

| x + 3 | ≤ 2

Back

-5 ≤ x and x ≤ -1

Front

| x + 3 | > 8

Back

x < -11 or x > 5

Front

| 2w - 1 | < 11

Back

-5 < w and w < 6

Front

Back

a>1/2 or a<-3/2