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Lesson: Intersection of Sets

Sample Question Videos

Worksheet • 25 Questions • 2 Videos

Q1:

If 𝐴 = { 6 , 5 , 9 , 1 } and 𝐡 = { 7 , 5 , 9 , 8 } , what is 𝐴 ∩ 𝐡 ?

  • A { 5 , 9 }
  • B { 5 , 9 , 1 }
  • C βˆ…
  • D { 5 }

Q2:

Given that { 1 4 , π‘₯ } βˆͺ { 2 π‘₯ , π‘₯ } = { 7 , 2 π‘₯ } ∩ { 1 4 , 7 } , what is the value of π‘₯ ?

Q3:

Use βŠ‚ or βŠ„ to fill in the gap: { 7 , 9 , 8 } ∩ { 7 , 9 8 } { 9 8 } .

  • A βŠ‚
  • B βŠ„

Q4:

If 𝑋 = { 7 , 1 } ∩ { 7 , 3 } , then 9 𝑋 .

  • A ∈
  • B βˆ‰

Q5:

Use βŠ‚ or βŠ„ to fill in the gap: { 2 3 } { 2 3 } ∩ { 3 } .

  • A βŠ‚
  • B βŠ„

Q6:

If 𝑋 = { 0 , 7 , 6 } , π‘Œ = { 5 , 9 } , and 𝑍 = { 3 , 1 0 } , what is ( 𝑋 ∩ π‘Œ ) βˆͺ 𝑍 ?

  • A { 1 0 , 3 }
  • B 3 , 1 0
  • C 7 , 0 , 6 , 5 , 9
  • D βˆ…

Q7:

If 𝐴 = { π‘₯ , 𝑦 , 𝑔 , 𝑏 } and 𝐡 = { π‘₯ , 𝑑 , 𝑔 , π‘Ž } , what is 𝐴 ∩ 𝐡 ?

  • A { π‘₯ , 𝑔 }
  • B { π‘₯ }
  • C βˆ…
  • D { 𝑦 }

Q8:

If { 2 , 6 , 9 } ∩ { 4 , π‘₯ , 2 } = { 2 , 6 } , what is π‘₯ ?

Q9:

What is the intersection between the set of digits of the number 72 240 and the set of digits of the number 67 689?

  • A { 7 }
  • B { 0 , 2 , 4 , 6 , 7 , 8 , 9 }
  • C { 2 , 6 }
  • D { 6 }
  • E βˆ…

Q10:

Given that 𝑋 = { 1 , 3 , 4 , 5 } , π‘Œ = { 1 , 6 , 8 , 3 } , and 𝑍 = { 9 , 6 , 3 } , find ( 𝑋 ∩ π‘Œ ) ∩ 𝑍 .

  • A { 3 }
  • B βˆ…
  • C { 3 , 6 }
  • D { 3 , 1 }

Q11:

Use βŠ‚ or βŠ„ to fill in the gap: { 9 , 4 , 7 } ∩ { 7 , 1 } { 5 , 7 } .

  • A βŠ„
  • B βŠ‚

Q12:

If 𝑋 = { 1 , 7 , 4 } ∩ { 6 , 4 } , then 𝑋 { 5 , 4 } .

  • A βŠ„
  • B βŠ‚

Q13:

Find the intersection set between the set of digits of the number 666 and the set of digits of the number 66.

  • A { 6 }
  • B { 6 6 }
  • C { 6 , 6 6 }
  • D { 6 6 6 }

Q14:

If 𝑋 = { 1 , 2 } ∩ { 2 , 6 } , then 2 𝑋 .

  • A βˆ‰
  • B ∈

Q15:

Find { 3 , 9 } ∩ { 3 9 } .

  • A βˆ…
  • B { 3 9 }
  • C { 3 }
  • D { 3 , 9 }
  • E { 9 }

Q16:

Find { 𝑦 , π‘₯ } ∩ { 𝑦 , 𝑧 , 𝑑 } .

  • A { 𝑦 }
  • B βˆ…
  • C { 𝑦 , π‘₯ }
  • D { π‘₯ }

Q17:

If 𝑋 = { 7 , 6 , 9 , 4 } , π‘Œ = { 6 , 9 , 2 } , and 𝑍 = { 3 , 6 , 7 } , what is 𝑋 ∩ π‘Œ ∩ 𝑍 ?

  • A { 6 }
  • B { 5 , 6 }
  • C6
  • D7
  • E { 7 }

Q18:

If 𝑋 = { 4 , 5 } , π‘Œ = { 3 , 6 , 2 , 4 } , and 𝑍 = { 3 , 8 , 4 } , what is 𝑋 ∩ π‘Œ ∩ 𝑍 ?

  • A { 4 }
  • B { 2 , 4 }
  • C4
  • D8
  • E { 8 }

Q19:

Find { 7 , 4 } ∩ { 4 , 7 } .

  • A { 4 , 7 }
  • B { 7 4 }
  • C { 7 }
  • D βˆ…
  • E { 4 }

Q20:

Find { 2 , 3 , 6 } ∩ { 2 , 3 6 } .

  • A { 2 }
  • B { 2 , 3 , 6 }
  • C { 3 , 6 }
  • D { 3 6 }

Q21:

Given that 𝐴 = { 3 , 6 , 7 , 9 } , 𝐡 = { 3 , 5 , 6 , 9 } , and 𝐢 = { 5 , 6 , 9 } , write the set of common elements in 𝐢 and 𝐡 . Then write the set of elements common to 𝐴 and 𝐡 and 𝐢 .

  • A { 5 , 6 , 9 } , { 6 , 9 }
  • B { 6 , 9 } , { 3 }
  • C { 3 , 6 , 7 , 9 } , { 9 }
  • D { 3 , 6 , 9 } , { 5 }

Q22:

Find { 1 } ∩ { 1 1 } .

  • A βˆ…
  • B { 1 }
  • C { 1 , 1 1 }
  • D { 1 1 }

Q23:

What is { 1 , 4 } ∩ { 4 , 6 } ?

  • A { 4 }
  • B { 1 4 }
  • C 4
  • D 6
  • E { 6 }

Q24:

What is { 1 , 5 } ∩ { 1 , 8 } ?

  • A { 1 }
  • B { 1 1 }
  • C 1
  • D 8
  • E { 8 }

Q25:

𝑋 = { 2 , 6 , 9 , 3 } and π‘Œ is the set of digits of the number 9 922. Find 𝑋 ∩ π‘Œ .

  • A { 9 , 2 }
  • B { 9 2 }
  • C { 9 9 , 2 2 }
  • D { 6 , 3 }
  • E { 9 }
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