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Sets Flashcards

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1
Q

A = B

A

the two sets A and B have exactly the same elements if A = {1, 2, 3} and B ={ 2, 1, 3}, then A = B

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2
Q

n(A)

A

the number of elements in A

when A contains an unlimited collection of elements we call it an infinite set

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3
Q

∈

A

element (member) of

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4
Q

∉

A

not an element (member) of

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5
Q

What is the symbol, meaning and mathematical name of this diagram?

A

meaning = elements in A or B or both

mathematical name = union

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6
Q

What would the picture of this symbol look like?

(assuming there is only set A and set B)

A
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7
Q

What is the symbol, meaning and mathematical name of this diagram?

A

meaning = elements in both A and B

mathematical name = intersection

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8
Q

What would the picture of this symbol look like?

A ∩ B

(assuming there is only set A and set B)

A
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9
Q

What is the symbol, meaning and mathematical name of this diagram?

A

meaning = elements not in set A

mathematical name = complement

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10
Q

what would the picture of this symbol look like?

(assuming there is only set A and set B)

A
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11
Q

What is the symbol, meaning and mathematical name of this diagram?

A

meaning = elements not in set B

mathematical name = complement

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12
Q

what would the picture of this symbol look like?

(assuming there is only sets A and B)

A
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13
Q

What is the symbol, meaning and mathematical name of this diagram?

A

meaning = elements not in A∪B

mathematical name = not in union

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14
Q

what would the picture of this symbol look like?

(assuming there is only set A and set B?)

A
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15
Q

What is the symbol, meaning and mathematical name of this diagram?

A

meaning = elements not in A or it is in B

no mathematical name

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16
Q

what would the picture of this symbol look like?

(assuming there is only set A and set B)

A
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17
Q

{ }

A

set

a collection of elements

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18
Q

Ø

A

empty set

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19
Q

Of the 26 cars on a garage forecourt, 12 had ABs brakes, 16 had a C-D player and 6 had neither ABs brakes or a C-D player

Find how many cars had both ABS brakes and a C-D player

A
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20
Q

What is the symbol and meaning?

A

everything in the overlap of B and C

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21
Q

What is the symbol and meaning?

A

Everything in D or E or both

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22
Q

What is the symbol and meaning?

A

everything not in H

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23
Q

What is the picture and meaning of this symbol?

(assuming there is D, E and F)

A

everything in D or E or both

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24
Q

What is the picture and meaning?

(assuming there is only H, I and J)

A

everything not in H

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25
What is the picture and meaning? | (assuming there is A, B and C)
everything in the overlap of B and C
26
What is the symbol and meaning?
everything not in R
27
What is the symbol and meaning?
everything in the overlap of K, L and M
28
What is the symbol and meaning?
everything in S, T, U or both
29
What is the picture and meaning? | (assuming there is P, Q and R)
everything not in R
30
What is the picture and meaning? | (assuming there is K, L and M)
everything in the overlap of K, L and M
31
What is the picture and meaning? | (assuming there is S, T and U)
everything in S, T, U or both
32
What is the symbol and meaning? CHECK
everything in the overlap of H and I
33
What is the symbol and meaning?
everything in E but not in F
34
What is the symbol and meaning?
everything in A or C or both
35
What is the picture and meaning? (assumigng there is H, I and J)
everything in the overlap of H and I
36
What is the picture and meaning? (assuming there is D, E and F) CHECK
everything in E but not in F
37
What is the picture and meaning? | (assuming there is A, B and C)
everything in A or C or both
38
What is the symbol and meaning?
everything in U not in S or T
39
What is the symbol and meaning?
everything in P not in Q
40
What is the symbol and meaning?
everything not in the overlap of H and I
41
What is the picture and meaning? (assuming there is S, U and T)
everything in U not in S or T
42
What is the symbol and meaning? CHECK
everything in P or not in Q
43
What is the picture and meaning? | (assuming there is P, Q and R)
everything in P not in Q
44
What is the picture and meaning? | (assuming there is H, I and J)
everything not in the overlap of H and I
45
What is the picture and meaning? (assuming there is P, Q and R)
everything in P or not in Q CHECK
46
subset meaning and symbol
when one set lies completely within another set every element in the subset is in the set symbol = ⊂ e.g. B ⊂ A (see picture) , every element of B is in A
47
True or False? D ⊂ E
False
48
True or False? E ⊂ D
True
49
True or False? D ⊂ (curvy E to mean everything in the diagram)
True
50
True or False? D ⊃ E
this means that E ⊂ D True
51
True or False F ⊂ G
True
52
True or False? F ⊂ (G ∪ H)
True
53
True or False? F ⊂ (G ∩ H)
False
54
True or Fasle? F ⊂ H'
True
55
20 friends go to a cafe. Two order cake, ice-cream and a drink. One orders nothing. One orders cake and ice-cream but no drink. Four order ice-cream ad drink but no cake. Ten people brought exactly two items. Eleven bought cake (with or without something else). Six of the people who bought drinks did not buy ice-cream. Draw a venn diagram
amount of people = 20 C + I + D = 2 C + I = 1 D + I = 4 N/A = 1 C = 11 D no I = 6 2 items = 10
56
20 friends go to a cafe. Two order cake, ice-cream and a drink. One orders nothing. One orders cake and ice-cream but no drink. Four order ice-cream ad drink but no cake. Ten people brought exactly two items. Eleven bought cake (with or without something else). Six of the people who bought drinks did not buy ice-cream. How many people bought i) cake and drink but no ice-cream ii) just cake iii) a drink (with or without something else) iv) ice-cream (with our without sinething else)
i) 5 people ii) 3 people iii) 12 people iv) 10 people
57
Draw a diagram to show B ⊂ C
58
Draw a diagram to show F ⊂ D ⊂ E
59
Draw a diagram to show G ⊂ (H ∩ J')
60
Draw a daigram to show K ⊂ (L ∩ M)
61
Draw a daigram to show (N ∪ P) ⊂ Q
62
Draw a diagram to show R ⊂ S ⊂, T ⊂ S, R ⊂ T = Ø
63
⊆
every element in the subset is the same
64

Maths (2 decks)

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