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?

  • A8
  • B8

Q2:

Which of the following is true?

  • A16|3|
  • B16|3|

Q3:

Which of the following is true?

  • A|||47||||||32|||
  • B|||47||||||32|||

Q4:

Which of the following is true?

  • A10+89
  • B10+89

Q5:

Which of the following is true?

  • A2123
  • B2123

Q6:

Which of the following is true?

  • A325
  • B325

Q7:

Which of the following is true?

  • A673
  • B673

Q8:

Which integer appears immediately after 26?

Q9:

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

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

Q10:

Which of the following is true?

  • A14
  • B14

Q11:

Using the listing method, write the set of integers that are less than 42 and greater than 47.

  • A{43,44,45,46}
  • B{48,49,50,}{41,40,39,}
  • C{42,43,44,45,46}
  • D{43,44,45,46,47}
  • E{42,43,44,45,46,47}

Q12:

Which of the following is true?

  • A2
  • B2

Q13:

Which of the following is true?

  • A52
  • B52

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{0,2,4,6,}
  • C{2,4,6,8,}
  • 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 71?

Q18:

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

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

Q19:

Which of the following is true?

  • A4193
  • B4193

Q20:

Which of the following is true?

  • A|18|
  • B|18|

Q21:

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

  • A15, 17.
  • B17, 15.
  • C15, 17.
  • D17, 15.

Q22:

Using the listing method, write the set of integers that are less than 199.

  • A{,204,203,202,201,200}
  • B{,209,207,205,203,201}
  • C{199,198,197,196,195,}
  • D{,203,202,201,200,199}
  • E{198,197,196,195,194,}

Q23:

Given that 11{4,9,5,10,𝑥}, what is the value of 𝑥?

Q24:

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

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

Q25:

Which of the following is true?

  • A|28|
  • B|28|

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