Worksheet: Set of Integer Numbers

In this worksheet, we will practice checking if a number, or a set of numbers, belongs to, is included in, or is not included in the set of integer numbers

Q1:

Which of the following is true?

  • A 8
  • B 8

Q2:

Which of the following is true?

  • A 1 6 | 3 |
  • B 1 6 | 3 |

Q3:

Which of the following is true?

  • A | | | 4 7 | | | | | | 3 2 | | |
  • B | | | 4 7 | | | | | | 3 2 | | |

Q4:

Which of the following is true?

  • A 1 0 + 8 9
  • B 1 0 + 8 9

Q5:

Which of the following is true?

  • A 2 1 2 3
  • B 2 1 2 3

Q6:

Which of the following is true?

  • A 3 2 5
  • B 3 2 5

Q7:

Which of the following is true?

  • A 6 7 3
  • B 6 7 3

Q8:

Which integer appears immediately after 2 6 ?

Q9:

Write the set of integers between (but not including) 1 and 4.

  • A { 0 , 1 , 2 , 3 }
  • B { 0 , 1 , 2 , 3 , 4 }
  • C { 1 , 0 , 1 , 2 , 3 }
  • D { 1 , 0 , 1 , 2 , 3 , 4 }

Q10:

Which of the following is true?

  • A 1 4
  • B 1 4

Q11:

Using the listing method, write the set of integers that are less than 4 2 and greater than 4 7 .

  • A { 4 8 , 4 9 , 5 0 , } { 4 1 , 4 0 , 3 9 , }
  • B { 4 2 , 4 3 , 4 4 , 4 5 , 4 6 , 4 7 }
  • C { 4 2 , 4 3 , 4 4 , 4 5 , 4 6 }
  • D { 4 3 , 4 4 , 4 5 , 4 6 }
  • E { 4 3 , 4 4 , 4 5 , 4 6 , 4 7 }

Q12:

Which of the following is true?

  • A 2
  • B 2

Q13:

Which of the following is true?

  • A 5 2
  • B 5 2

Q14:

How many integers are there between (but not including) 4 and 4?

Q15:

State, using the listing method, the set of non-positive even integers.

  • A { 2 , 4 , 6 , 8 , }
  • B { 2 , 4 , 6 , 8 , }
  • C { 0 , 2 , 4 , 6 , }
  • D { 0 , 2 , 4 , 6 , }

Q16:

State, using the listing method, the set of non-positive odd integers.

  • A { 1 , 3 , 5 , }
  • B { 0 , 1 , 3 , }
  • C { 1 , 1 , 3 , }
  • D { 1 , 3 , 5 , }

Q17:

Which integer appears immediately before 7 1 ?

Q18:

What is the set of integers between 7 and 3 (not including 7 and 3 )?

  • A { 6 , 5 , 4 }
  • B { 6 , 5 , 4 , 3 }
  • C { 7 , 6 , 5 , 4 , 3 }
  • D { 7 , 6 , 5 , 4 }

Q19:

Which of the following is true?

  • A 4 1 9 3
  • B 4 1 9 3

Q20:

Which of the following is true?

  • A | 1 8 |
  • B | 1 8 |

Q21:

Find the two integers immediately before and immediately after 16? Write the two integers in ascending order.

  • A15, 17.
  • B 1 7 , 1 5 .
  • C17, 15.
  • D 1 5 , 1 7 .

Q22:

Using the listing method, write the set of integers that are less than 1 9 9 .

  • A { , 2 0 3 , 2 0 2 , 2 0 1 , 2 0 0 , 1 9 9 }
  • B { 1 9 9 , 1 9 8 , 1 9 7 , 1 9 6 , 1 9 5 , }
  • C { , 2 0 9 , 2 0 7 , 2 0 5 , 2 0 3 , 2 0 1 }
  • D { , 2 0 4 , 2 0 3 , 2 0 2 , 2 0 1 , 2 0 0 }
  • E { 1 9 8 , 1 9 7 , 1 9 6 , 1 9 5 , 1 9 4 , }

Q23:

Given that 1 1 { 4 , 9 , 5 , 1 0 , 𝑥 } , what is the value of 𝑥 ?

Q24:

Using the listing method, write down the set of nonnegative integers.

  • A { 1 , 2 , 3 , 4 , }
  • B { 0 , 1 , 2 , 3 , }
  • C { 0 , 1 , 2 , 3 , }
  • D { 1 , 2 , 3 , 4 , }

Q25:

Which of the following is true?

  • A | 2 8 |
  • B | 2 8 |

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