Systems of Inequalities

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Systems of Inequalities Revision Questions

1. . The system of linear inequalities

is equivalent to

1. y - 2 < 3x2x > 1 + y
2. y < x/3 - 2/3y > 2x - 1
3. y < x/3 - 2/3y > 2x - 1
4. y > x/3 - 2/3y < 2x - 1

Reveal AnswerCorrect Answer: D

2. . The solution set of the system of linear inequalities

lies

1. Above the intercept
2. Below the intercept
3. On the left of the intercept
4. On the right of the intercept

Reveal AnswerCorrect Answer: B

3. . The solution set of the system of linear inequalities

lies

1. Above the intercept
2. Below the intercept
3. On the left of the intercept
4. On the right of the intercept

Reveal AnswerCorrect Answer: D

4. . What are the coordinates of the maximum point for the solution set in the system of inequalities

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

Reveal AnswerCorrect Answer: C

5. . What is the minimum point of the solution set for the system of linear inequalities

1. (6/5, 13/5)
2. (13/5, 6/5)
3. (0, 0)
4. (1, 6/5)

Reveal AnswerCorrect Answer: A

6. . What is the system of linear inequalities shown in the figure?

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

Reveal AnswerCorrect Answer: B

7. . What are the coordinates of the maximum point of the solution set for the system of linear inequalities

1. (1, 3/4)
2. (3/4, 1)
3. (1/4, 7/4)
4. (7/4, 1/4)

Reveal AnswerCorrect Answer: C

8. . What are the coordinates of the minimum point of the solution set for the system of inequalities

1. (4, 5)
2. (0, 0)
3. (0, -3)
4. (4, 0)

Reveal AnswerCorrect Answer: C

9. . Which part of the graph below shows the solution set of the system of inequalities

1. Zone 1
2. Zone 2
3. Zone 3
4. Zone 4

Reveal AnswerCorrect Answer: B

10. . The solution set of the system of inequalities

lies in zone 3 of the graph below. What are the inequality symbols (?1) and (?2)?

1. (?1) is "≥" and (?2) is "≥"
2. (?1) is "≥" and (?2) is "≤"
3. (?1) is "≤" and (?2) is "≥"
4. (?1) is "≤" and (?2) is "≤"

Reveal AnswerCorrect Answer: C

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2. Inequalities Math tutorial: Systems of Inequalities. Read the Systems of Inequalities math tutorial and build your math knowledge of Inequalities
3. Inequalities Video tutorial: Systems of Inequalities. Watch or listen to the Systems of Inequalities video tutorial, a useful way to help you revise when travelling to and from school/college
4. Inequalities Revision Notes: Systems of Inequalities. Print the notes so you can revise the key points covered in the math tutorial for Systems of 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: Solving Linear Inequalities

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Inequalities Calculators by iCalculator™

• Quadratic Inequalities Calculator