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Answer:
R={(x,y):y=x+5andx<4}={(1,6),(2,7),(3,8)}
It is seen that (1,1)∈/
R⇒R is not reflexive.
Also (1,6)∈R.
But, (1,6)∈/
R. ∴R is not symmetric.
Now, since there is no pair in R such that (x,y) and (y,z)∈R, then (x,z) cannot belong to R.
∴ R is reflexive.
As x and x work at the same place, given relation is reflexive.
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Answer:
R=[(x,y):y=x+5andx<4}-{(1,6),(2,7),(3,8)}
It is seen that (1,1) €/
R→ R is not reflexive.
Also (1,6)ER.
But, (1,6)€/
R. R is not symmetric.
Now, since there is no pair in R such that (x,y) and (y,z)ER, then (x,z) cannot belong to R.
.. R is reflexive.
As x and x work at the same place, given relation is reflexive.
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