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The following math revision questions are provided in support of the math tutorial on Graphing Inequalities. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Graphing Inequalities tutorials. The Graphing Inequalities calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
---|---|---|---|---|---|---|

10.3 | Graphing Inequalities |

**1.** . Which of the following points belongs to the solution set of the inequality shown in the figure?

- A(2, 1)
- B(5, 0)
- C(-3, -2)
- D(0, -30)

**Correct Answer: D**

**2.** . Which of the following points does NOT belong to the solution set of the inequality shown in the figure?

- A(3, -1)
- B(-4, -3)
- C(0, 0)
- D(1403, -106)

**Correct Answer: C**

**3.** . What is the simplest form of the inequality represented through the graph below?

- y ≥ 2x
- x = 2
- x ≤ 2
- x < 2

**Correct Answer: C**

**4.** . Which of the following points belongs to the solution set of the inequality shown in the graph below?

- (1, 3)
- (-1, 0)
- (-2, 2)
- (2, 2)

**Correct Answer: D**

**5.** . What is the inequality shown in the graph below?

- y < x - 2
- y > x - 2
- y < 2x - 1
- y < 2x - 2

**Correct Answer: A**

**6.** . What is the inequality shown in the graph below?

- y ≥ 2x + 3
- y ≥ 3x + 2
- y ≥ 2x - 3
- y ≥ 3x - 2

**Correct Answer: B**

**7.** . Which point does NOT belong to the solution set of the inequality shown in the graph below?

- (2, 2)
- (1, 1)
- (1, 0)
- (-2, -6)

**Correct Answer: A**

**8.** . One of the following options gives the coloured region in the following graph. Which is it?

- y = 5x - 4
- y < 5x + 4
- y < 4x - 5
- y < 5x - 4

**Correct Answer: D**

**9.** . The boundary line that separates the coloured and blank regions in the graph below has the equation y = 2x^{2} - 5x + 1. Which inequality is true for the coordinates of point A shown in the same figure?

- y
_{A}= 2x_{A}^{2}-5x_{A}+ 1 - y
_{A}> 2x_{A}^{2}-5x_{A}+ 1 - y
_{A}< 2x_{A}^{2}-5x_{A}+ 1 - y
_{A}≥ 2x_{A}^{2}-5x_{A}+ 1

**Correct Answer: C**

**10.** . Which of the following inequalities has all values contained in the solution set of the inequality y > 3?

- y = 2x + 1
- y > 2x
^{2}- 5x + 2 - y ≥ x
^{2}+ 7x + 3 - y - x > 4 - x

**Correct Answer: D**

Enjoy the "Graphing Inequalities" practice questions? People who liked the "Graphing Inequalities" practice questions found the following resources useful:

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- Inequalities Math tutorial: Graphing Inequalities. Read the Graphing Inequalities math tutorial and build your math knowledge of Inequalities
- Inequalities Video tutorial: Graphing Inequalities. Watch or listen to the Graphing Inequalities video tutorial, a useful way to help you revise when travelling to and from school/college
- Inequalities Revision Notes: Graphing Inequalities. Print the notes so you can revise the key points covered in the math tutorial for Graphing Inequalities
- Check your calculations for Inequalities questions with our excellent Inequalities calculators which contain full equations and calculations clearly displayed line by line. See the Inequalities Calculators by iCalculator™ below.
- Continuing learning inequalities - read our next math tutorial: Systems of Inequalities

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