Lesson Worksheet: Graphing Linear and Absolute Value Inequalities Mathematics

In this worksheet, we will practice graphing linear and absolute value inequalities.

Q1:

Fill in the blank: The point (4,2) belongs to the solution set of the inequality 3𝑥+2𝑦8.

  • A
  • B
  • C>
  • D<

Q2:

True or False: The graph shown represents the inequality 𝑦12𝑥6.

  • AFalse
  • BTrue

Q3:

Which inequality has been graphed in the given figure?

  • A𝑦<2𝑥13
  • B𝑦13𝑥2
  • C𝑦2𝑥13
  • D𝑦>13𝑥2
  • E𝑦<13𝑥2

Q4:

Which of the following figures is the correct graph of 𝑦<𝑥?

  • A
  • B
  • C
  • D
  • E

Q5:

Which inequality has been graphed in the given figure?

  • A𝑦15𝑥3
  • B𝑦<15𝑥3
  • C𝑦>3𝑥15
  • D𝑦3𝑥15
  • E𝑦15𝑥3

Q6:

Which inequality has been graphed in the given figure?

  • A𝑦2𝑥+4
  • B𝑦4𝑥2
  • C𝑦4𝑥2
  • D𝑦>4𝑥2
  • E𝑦<2𝑥+4

Q7:

What is the inequality graphed in the given figure?

  • A𝑦>2
  • B𝑦<2
  • C𝑦0
  • D𝑦2
  • E𝑦2

Q8:

Write the inequality that has been graphed in the given figure.

  • A𝑦4𝑥3
  • B𝑦>4𝑥3
  • C𝑦<3𝑥+4
  • D𝑦3𝑥+4
  • E𝑦<4𝑥3

Q9:

A library offers two types of notebooks; the price of the first is 10.5 LE and the second is 15 LE. If Abdulrahman does not want to spend more than 41 LE, express a relation that shows how many notebooks he can buy.

  • A10.5𝑥+15𝑦<41
  • B10.5𝑥15𝑦<41
  • C10.5𝑥+15𝑦=41
  • D10.5𝑥+15𝑦41
  • E10.5𝑥+15𝑦>41

Q10:

Which inequality has been graphed in the given figure?

  • A𝑦4𝑥+3
  • B𝑦4𝑥+3
  • C𝑦<3𝑥4
  • D𝑦3𝑥4
  • E𝑦>4𝑥+3

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