Question

.b. State whether the following are overlapping or disjoint sets?
A = { 4, 8, 12, 16 } B = { first two multiples of 4}
C = {1, 2, 3, 4, 5} and D = {10, 20, 30).
E = { colors in a rainbow} and F = {red, blue, indigo}
G = {2, 4, 6, 8} and H = {set of first 10 even numbers)

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Answer 1

Answer:

. If,

A = {3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {12, 14, 18, 20, 24}

D = {21, 26, 31, 36}

(a) State whether true or false.

(i) 13 ∈ C

(ii) 6 ∉ A

(iii) 9 ∉ A

(iv) 24 ∈ C

(v) 31 ∈ D

(vi) 36 ∉ D

(vii) 20 ∉ C

(viii) 9 ∈ A

(b) Fill in the blanks.

(i) 3 ∈ ___

(ii) 4 ___ B

(iii) 26 ___ C

(iv) 8 ∈ ___

(v) 5 ___ A

(vi) 6 ___ C

(vii) 21 ___ D

(viii) 18 ___ B

3. Write the following sets in the roster form.

(a) A = The set of all even numbers less than 12

(b) B = The set of all prime numbers greater than 1 but less than 29

(c) C = The set of integers lying between -2 and 2

(d) D = The set of letters in the word LOYAL

(e) E = The set of vowels in the word CHOICE

(f) F = The set of all factors of 36

(g) G = {x : x ∈ N, 5 < x < 12}

(h) H = {x : x is a multiple of 3 and x < 21}

(i) I = {x : x is perfect cube 27 < x < 216}

(j) J = {x : x = 5n - 3,n ∈ W, and n < 3}

(k) M = {x : x is a positive integer and x2 < 40}

(l) N = {x : x is a positive integer and is a divisor of 18}

(m) P = {x : x is an integer and x + 1 = 1}

(n) Q = {x : x is a color in the rainbow}

Step-by-step explanation:

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Answer 2

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