Find A U B if A = {x : x = 2n + 1, n ≤ 5, n ε N} and B = {x : x = 3n – 2, n ≤ 4, n ε N}.
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Answer:
Thus A U B = {1,2,3,4,5,7,10}
Step-by-step explanation:
A: n=1,2,3,4,5
so x=2n+1
so x={3,5,7,9,11}
B: n=1,2,3,4
y=3n-2
B={1,4,7,10}
So A U B = { 1.2,3,4,5 } U { 1,4,7,10}
By defination A U B is a set which is having all the elements which are in
A and B and no element is to be repeated
Thus A U B = {1,2,3,4,5,7,10}
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