Question

If A, B, C are the sets of the letters in the words 'college', 'marriage' and 'luggage' respectively, then verify that
[A - (B ∪ C)] = [(A - B)∩(A - C)]

Answer 1

Answer:

To prove:

[A - (B ∪ C)] = [(A - B)∩(A - C)]

Here A, B and C are the sets for 'college', 'marriage' and 'luggage' respectively.

Set A = {C, E, G, L, O}

Set B = {A, E, G, I, M, R}

Set C= {A, E, G, L, U}

B U C = {A, E, G, I, L, M, R, U}

A - B = {C, L, O}

A - C = {C, O}

L.H.S. [A - (B ∪ C)]

=[{C, E, G, L, O} - {A, E, G, I, L, M, R, U}]

={C, O}

R.H.S.  [(A - B)∩(A - C)]

= {C, L, O} ∩ {C, O}

={C, O}

Hence Proved.

Answer 2

Answer:

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Step-by-step explanation:

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