Graphing Inequalities

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Graphing Inequalities Revision Questions

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

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

Reveal AnswerCorrect Answer: D

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

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

Reveal AnswerCorrect Answer: C

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

1. y ≥ 2x
2. x = 2
3. x ≤ 2
4. x < 2

Reveal AnswerCorrect Answer: C

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

1. (1, 3)
2. (-1, 0)
3. (-2, 2)
4. (2, 2)

Reveal AnswerCorrect Answer: D

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

1. y < x - 2
2. y > x - 2
3. y < 2x - 1
4. y < 2x - 2

Reveal AnswerCorrect Answer: A

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

1. y ≥ 2x + 3
2. y ≥ 3x + 2
3. y ≥ 2x - 3
4. y ≥ 3x - 2

Reveal AnswerCorrect Answer: B

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

1. (2, 2)
2. (1, 1)
3. (1, 0)
4. (-2, -6)

Reveal AnswerCorrect Answer: A

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

1. y = 5x - 4
2. y < 5x + 4
3. y < 4x - 5
4. y < 5x - 4

Reveal AnswerCorrect Answer: D

9. . The boundary line that separates the coloured and blank regions in the graph below has the equation y = 2x² - 5x + 1. Which inequality is true for the coordinates of point A shown in the same figure?

1. y_A = 2x_A² -5x_A + 1
2. y_A > 2x_A² -5x_A + 1
3. y_A < 2x_A² -5x_A + 1
4. y_A ≥ 2x_A² -5x_A + 1

Reveal AnswerCorrect Answer: C

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

1. y = 2x + 1
2. y > 2x² - 5x + 2
3. y ≥ x² + 7x + 3
4. y - x > 4 - x

Reveal AnswerCorrect Answer: D

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2. Inequalities Math tutorial: Graphing Inequalities. Read the Graphing Inequalities math tutorial and build your math knowledge of Inequalities
3. 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
4. Inequalities Revision Notes: Graphing Inequalities. Print the notes so you can revise the key points covered in the math tutorial for Graphing Inequalities
5. 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.
6. Continuing learning inequalities - read our next math tutorial: Systems of Inequalities

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Inequalities Calculators by iCalculator™

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