Quiz about Representing Solutions of Linear Inequalities in One Variable on a Number Line

Question 1

The graphed solution represents the solutions to which inequality?

Accepted Answer

| x - 9 | > 3

Answer

| x + 9 | > 3

Answer

| x - 9 | < 3

Answer

| x + 9 | < 3

Question 2

Write the absolute value inequality represented in the graph.

Accepted Answer

$$f\left(x\right)\ge\left|3x+9\right|-4$$

Answer

$$f\left(x\right)>\left|3x+9\right|-4$$

Answer

$$f\left(x\right)\ge\left|3x+9\right|+4$$

Answer

$$f\left(x\right)\ge\left|3x-9\right|-4$$

Question 3

Choose the inequality of the graph.

Accepted Answer

$$y\ge\left|x\right|-3$$

Answer

$$y>\left|x\right|-3$$

Answer

$$y<\left|x\right|-3$$

Answer

$$y\le\left|x\right|-3$$

Question 4

Plot the solution set of the inequality x > 3 on the number line.

Accepted Answer

The solution set of the inequality x > 3 on the number line is represented by an open circle at 3 and an arrow to the right.

Answer

The solution set of the inequality x > 3 on the number line is represented by a closed circle at 3 and an arrow to the left.

Answer

The solution set of the inequality x > 3 on the number line is represented by an open circle at 3 and an arrow to the left.

Answer

The solution set of the inequality x > 3 on the number line is represented by a closed circle at 3 and an arrow to the right.

Question 5

Which graph matches the inequality?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

Which inequality shows the graph?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 7

Solve and graph the inequality.

$$\frac{x}{-19}>1$$

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Representing Solutions of Linear Inequalities in One Variable on a Number Line