Double Absolute Value Inequality Quiz

What is the first step in solving a double absolute value inequality?

• Solve for x directly

• Combine the inequalities

• Isolate one of the absolute value expressions

• Graph the inequality

When breaking down the inequality, what do you do with the sign?

• Switch it to the opposite

• Keep it the same

• Ignore it

• Multiply it by 2

After isolating the absolute value, what is the next step?

• Divide by 2

• Add 5 to both sides

• Break it into two separate inequalities

• Graph the solution

What is the solution for x when solving the inequality x + 2 ≤ 9?

• x ≤ 7

• x ≥ 7

• x ≤ 11

• x ≥ 11

What is the result of solving the inequality x + 2 ≥ -9?

• x ≤ -11

• x ≥ -11

• x ≥ 7

• x ≤ 7

How do you determine the overlap of the inequalities on a graph?

• By using only the largest value

• By finding the intersection of all lines

• By identifying the common region

• By plotting only one inequality

What is the range of x in the final solution set?

• -1 ≤ x ≤ 11

• -11 ≤ x ≤ 7

• -1 ≤ x ≤ 7

• -5/3 ≤ x ≤ 7

What does the graph of the solution set look like?

• A line from -1 to 7

• A line from -1 to 11

• A line from -11 to 7

• A line from -5/3 to 7

What is the significance of the closed circles on the graph?

• They represent the midpoint

• They show the endpoints are included

• They indicate open intervals

• They are used for decoration

What is the final form of the solution in terms of inequality?

• -1 ≤ x ≤ 7

• -1 ≤ x ≤ 11

• -5/3 ≤ x ≤ 7

• -11 ≤ x ≤ 7