Will Give Brainliest and 5 star Please Help Q. ε = {x: 2 ≤ x ≤30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: (i) MUP (ii) M - T (iii) P∪(M∩T) (iv) P’U(M∩T’)

(i)

(ii)M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii)P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv)P’U(M∩T’)={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Step-by-step explanation:

Given the sets:

ε = {x: 2 ≤ x ≤30, x is an integer}

M = {even numbers}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = {prime numbers}={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

T = {odd numbers} ={3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

(i)This is the union of sets M and P. (Do not repeat same elemnts)

(ii)M-T: This is the set M less elements in set T.

Since , the set M-T=M.

M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii) P∪(M∩T)

Therefore:

P∪(M∩T) = P

P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv) P’U(M∩T’)

Since T is the set of odd numbers, its complement will be the set of even numbers.

T'=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

M∩T’=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

Therefore:

P’U(M∩T’) = {4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30} U {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

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step-by-step explanation:

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