Let
X
[1,2,3,4,5.6
J 4
{
xe { }
کے
} and
{1,623.4} {2,3,4} {15 ob}
{5.). {2,3,4,5 ats} } Let A {1,2,3}
B. { 1, 3, 4 } {Sabad} and
D {1,2,4,5} find the
С C
interiors
closures
boundaries
exteriors
and
the
derived
sets
of A, B.C.D
Salo:
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ANSWER
R1={(x,y):y=2+x,x∈X,y∈Y}
x=1→y=1+2=3
x=2→y=2+2=4
x=3→y=3+2=5
x=4→y=4+2=6
x=5→y=5+2=7
R={(1,3),(2,4),(3,5),(4,6),(5,7)}
Here in(4,6) ,6 does not belong to either XorY
So R1 is not a relation between X and Y
In R4, since it contains an element (7,9) which relates set Y to set Y, while rest elements relate set X to Y.
∴R4 is not a relation between X and Y
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