- Writing, Graphing and Solving Inequalities
- Home
- Translating a Sentence by Using an Inequality Symbol
- Translating a Sentence into a One-Step Inequality
- Introduction to Identifying Solutions to an Inequality
- Writing an Inequality for a Real-World Situation
- Graphing a Linear Inequality on the Number Line
- Writing an Inequality Given a Graph on the Number Line
- Identifying Solutions to a One-Step Linear Inequality
- Additive Property of Inequality with Whole Numbers
- Multiplicative Property of Inequality with Whole Numbers
- Solving a Two-Step Linear Inequality with Whole Numbers
- Solving a Word Problem Using a One-Step Linear Inequality

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Graphing a Linear Inequality on the Number Line Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Graphing a Linear Inequality on the Number Line**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

### Answer : C

### Explanation

**Step 1:**

We first locate the point 27 on the number line.

**Step 2:**

We put a open circle on 27 and draw a thick line towards right to denote the inequality x > 27

### Answer : B

### Explanation

**Step 1:**

We first locate the point 14 on the number line.

**Step 2:**

We put an open circle on 14 and draw a thick line towards left to denote the inequality x < 14

### Answer : A

### Explanation

**Step 1:**

We first locate the point −42 on the number line.

**Step 2:**

We put a closed circle on −42 and draw a thick line towards left to denote the inequality x ≤ −42

### Answer : D

### Explanation

**Step 1:**

We first locate the point −32 on the number line.

**Step 2:**

We put a open circle on −32 and draw a thick line towards right to denote the inequality x > −32

### Answer : A

### Explanation

**Step 1:**

x ≥ 5

We first locate the point 5 on the number line.

**Step 2:**

We put a closed circle on 5 and draw a thick line towards right to denote the inequality x ≥ 5

### Answer : C

### Explanation

**Step 1:**

x – 2 ≥ 6; x – 2 + 2 ≥ 6 + 2; x ≥ 8

We first locate the point 8 on the number line.

**Step 2:**

We put a closed circle on 8 and draw a thick line towards right to denote the inequality x ≥ 8

### Answer : B

### Explanation

**Step 1:**

x – 3 ≤ 10; x – 3 + 3 ≤ 10 + 3; x ≤ 13

We first locate the point 13 on the number line.

**Step 2:**

We put a closed circle on 13 and draw a thick line towards left to denote the inequality x ≤ 13

### Answer : D

### Explanation

**Step 1:**

2x < 18; x < $\frac{18}{2}$; x < 9

We first locate the point 9 on the number line.

**Step 2:**

We put an open circle on 9 and draw a thick line towards left to denote the inequality x < 9

### Answer : A

### Explanation

**Step 1:**

$\frac{x}{7}$ ≤ 3; x ≤ (7 × 3); x ≤ 21

We first locate the point 21 on the number line.

**Step 2:**

We put a closed circle on 21 and draw a thick line towards left to denote the inequality x ≤ 21

### Answer : C

### Explanation

**Step 1:**

x + 2 > 8; x > 8 – 2; x > 6

We first locate the point 6 on the number line.

**Step 2:**

We put an open circle on 6 and draw a thick line towards right to denote the inequality x > 6