Sets: members, "and", "or", "not", and set-builder and interval notation

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Kira writes the set ｛x | x < 5｝ with a pencil. Which interval notation names the same set?

   • (-∞, 5]
   • (5, ∞)
   • (-∞, 5)
   • [-∞, 5)
3. 2.

   Luz writes the set ｛x | -1 < x ≤ 4｝ in a math notebook. Which interval notation names the same set?

   • [-1, 4]
   • (-1, 4]
   • (-1, 4)
   • [-1, 4)
4. 3.

   Milo writes the set ｛x | 0 ≤ x < 6｝ on paper. Which interval notation names the same set?

   Use the picture in question 2.

   • (0, 6]
   • [0, 6]
   • (0, 6)
   • [0, 6)
5. 4.

   Noah draws two stretches on paper: A is ｛x | x > 1｝ and B is ｛x | x > 4｝. Which set holds the numbers in A and B?

   • ｛x | 1 < x < 4｝
   • ｛x | x > 1｝
   • ｛x | x > 4｝
   • ｛x | x < 1｝
6. 5.

   Pia draws two stretches with a pencil: A is ｛x | x < 7｝ and B is ｛x | x < 2｝. Which set holds the numbers in A or B?

   • ｛x | x < 2｝
   • ｛x | x > 2｝
   • ｛x | 2 < x < 7｝
   • ｛x | x < 7｝
7. 6.

   Ren draws two stretches in a math notebook: A is ｛x | x > 2｝ and B is ｛x | x < 8｝. Which set holds the numbers in A and B?

   • Every number
   • No numbers
   • ｛x | x < 2 or x > 8｝
   • ｛x | 2 < x < 8｝
8. 7.

   Tala draws two stretches on paper: A is ｛x | x < 3｝ and B is ｛x | x > 6｝. Which set holds the numbers in A or B?

   • Every number
   • ｛x | 3 < x < 6｝
   • No numbers, since A and B do not overlap
   • ｛x | x < 3 or x > 6｝
9. 8.

   Zee marks the whole numbers from 2 to 8 in red (set A) and from 4 to 10 in blue (set B) on paper. How many numbers are in A and in B?

   5
10. 9.

    Ari marks the whole numbers from 3 to 10 in red (set A) and from 7 to 14 in blue (set B) with a pencil. How many numbers are in A and in B?

    4
11. 10.

    Bo marks the whole numbers from 3 to 10 in red (set A) and from 5 to 13 in blue (set B) in a math notebook. How many numbers are in A and in B?

    6