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Question
A= {1,2,3,5} and B= {4,6,9}. Define a relation R from A to B by R= {(x,y): the difference between x and y is odd; x ϵ A, y ϵ B}.Write R in roster form.
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Solution
Given
A= {1,2,3,5} and B= {4,6,9}
R:A→B
R= {(x,y):|x−y|= odd number; x ϵ A, y ϵ B}
Finding Roster form
|x−y|= odd number
⇒|1−4|=3 (odd),|1−6|=5 (odd),|2−9|=7 (odd),|3−4|=1 (odd),|3−6|=3 (odd),|5−4|=1 (odd),|5−6|=1 (odd),
Thus, R= {(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)}
A= {1,2,3,5} and B= {4,6,9}
R:A→B
R= {(x,y):|x−y|= odd number; x ϵ A, y ϵ B}
Finding Roster form
|x−y|= odd number
⇒|1−4|=3 (odd),|1−6|=5 (odd),|2−9|=7 (odd),|3−4|=1 (odd),|3−6|=3 (odd),|5−4|=1 (odd),|5−6|=1 (odd),
Thus, R= {(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)}
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