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Lesson: Equal Sets

Sample Question Videos

Worksheet • 19 Questions • 2 Videos

Q1:

Given that { 0 , 4 , π‘Ž } = { 4 , 1 2 , 𝑏 } = { 0 , 1 2 , 𝑐 } , find π‘Ž , 𝑏 , and 𝑐 .

  • A π‘Ž = 1 2 , 𝑏 = 0 , 𝑐 = 4
  • B π‘Ž = 0 , 𝑏 = 1 2 , 𝑐 = 4
  • C π‘Ž = 4 , 𝑏 = 0 , 𝑐 = 1 2
  • D π‘Ž = 1 2 , 𝑏 = 4 , 𝑐 = 0

Q2:

If { 4 𝑏 } β‰  { 4 4 } , what are the possible values of 𝑏 ?

  • A 𝑏 can be any number except 11.
  • B 𝑏 can be any number except 4 and 44.
  • C 𝑏 can be any number except 0 and 11.
  • D 𝑏 can be any number except 44.

Q3:

If { 6 3 , 𝑏 } = { 𝑐 , 6 3 } , what are the possible values of 𝑏 and 𝑐 ?

  • A 𝑏 and 𝑐 can be any number except 63.
  • B 𝑏 and 𝑐 can be any number except 0 and 63.
  • C 𝑏 and 𝑐 can be any number except 0 and 1.
  • D 𝑏 and 𝑐 can be any number except 1.

Q4:

Use = or β‰  to fill in the blanks: If 𝑋 = { 0 , 3 } , π‘Œ is the set of digits of 30, and 𝑍 = { 3 0 } , then 𝑋 π‘Œ and π‘Œ 𝑍 .

  • A = , β‰ 
  • B = , =
  • C β‰  , =
  • D β‰  , β‰ 

Q5:

Use = or β‰  to fill in the blank:

  • A =
  • B β‰ 

Q6:

Are these two sets equivalent?

  • Ano
  • Byes

Q7:

Find the value of π‘₯ if { 4 π‘₯ } = { 2 8 } .

Q8:

Use = or β‰  to fill in the blank: { 1 , 2 , 1 9 , 3 8 } the set of factors of the number 38.

  • A β‰ 
  • B =

Q9:

Given that { 𝑏 , 3 , 4 } = { 𝑐 , 9 , 4 } , find 𝑏 and 𝑐 .

  • A 𝑏 = 9 , 𝑐 = 3
  • B 𝑏 = 9 , 𝑐 = 1 2
  • C 𝑏 = 3 , 𝑐 = 9
  • D 𝑏 = 9 , 𝑐 = 4
  • E 𝑏 = 4 , 𝑐 = 9

Q10:

Given that { 9 , 𝑏 , 8 } = { 3 , 𝑐 , 8 } , find 𝑏 and 𝑐 .

  • A 𝑏 = 3 , 𝑐 = 9
  • B 𝑏 = 3 , 𝑐 = 1 2
  • C 𝑏 = 9 , 𝑐 = 3
  • D 𝑏 = 3 , 𝑐 = 8
  • E 𝑏 = 8 , 𝑐 = 3

Q11:

Two equal sets are equivalent. Are two equivalent sets equal?

  • Ayes
  • Bno

Q12:

Use = or β‰  to fill in the blank: { 2 8 } the set of even numbers smaller than 28.

  • A =
  • B β‰ 

Q13:

If { 3 , 5 , 1 } = { 1 , 3 , π‘₯ } , what is the value of π‘₯ ?

Q14:

If { π‘₯ , 9 , 1 } = { 1 , 3 , 9 } , what is the value of π‘₯ ?

Q15:

Given that { 𝑏 , 8 } = { 𝑐 , 1 } , find 𝑏 and 𝑐 .

  • A 𝑏 = 1 , 𝑐 = 8
  • B 𝑏 = 1 , 𝑐 = 9
  • C 𝑏 = 8 , 𝑐 = 1
  • D 𝑏 = 7 , 𝑐 = 9
  • E 𝑏 = 9 , 𝑐 = 7

Q16:

If two sets have the exact same elements, they are said to be .

  • A equal
  • B not equal
  • C not equivalent
  • D equivalent

Q17:

Given that 𝐴 = { 5 , 7 , 8 } and 𝐢 = { π‘₯ ∢ π‘₯ is a digit in the number 5 7 7 8 5 } , find the relation between 𝐴 and 𝐢 .

  • A 𝐴 = 𝐢
  • B 𝐴 β‰  𝐢
  • C 𝐢 βŠ‚ 𝐴
  • D 𝐴 βŠ‚ 𝐢

Q18:

Use = or β‰  to fill in the blank: If π‘₯ = 0 , then { π‘₯ , 2 , 1 6 } { 2 , 1 6 , 1 } .

  • A =
  • B β‰ 

Q19:

Use = or β‰  to fill in the blank: { 5 , 9 , 3 } the set of digits of the number 59 093.

  • A =
  • B β‰ 
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