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Q.

If A={x : x∈R and satisfy x2−15x+56=0B={x : x∈N and x+5≤14} and C={x : x∈N and x/112}.Then A∪(B∩C) is equal to

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a

{1,2,3,…..8}

b

{8,7}

c

{1,2,8,7}

d

{1,2,4,7,8}

answer is D.

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Detailed Solution

A = {7,8},B={1,2,3,….9}C = {1,2,4,7,8,14,16,…}B∩C = {1,2,4,7,8}A∪(B∩C) = {1,2,4,7,8}
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If A={x : x∈R and satisfy x2−15x+56=0B={x : x∈N and x+5≤14} and C={x : x∈N and x/112}.Then A∪(B∩C) is equal to