suppose, X=Z; the set of all integers. Let us define a relation R on Z by a R b iff a^2=b^2. Prove that R is Reflexsive, symmetric, Transitive check whether it’s antisymmetric or not.

Question

suppose, X=Z; the set of all integers. Let us define a relation R on Z by a R b iff a^2=b^2. Prove that R is Reflexsive, symmetric, Transitive check whether it's antisymmetric or not.​

Ella · Answer

Answer:   A relation R on a set A is an equivalence relation if and ... transitive (x = y and y = z implies x = z) properties. 3.2. ... Proof. 1 → 2. Suppose a, b ∈ A and aRb. We must show that [a]=[b].

Adeline

Tim the cat was trying to chase Gerie the mouse and while chasing he fell into an oil drum, due to oily feet he took three steps f

which of the following AP has first term 26 and difference -7 a)-5 b)5 c)3 d)8

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suppose, X=Z; the set of all integers. Let us define a relation R on Z by a R b iff a^2=b^2. Prove that R is Reflexsive, symmetric

Adeline

Tim the cat was trying to chase Gerie the mouse and while chasing he fell into an oil drum, due to oily feet he took three steps f

which of the following AP has first term 26 and difference -7 a)-5 b)5 c)3 d)8​

1 thought on “suppose, X=Z; the set of all integers. Let us define a relation R on Z by a R b iff a^2=b^2. Prove that R is Reflexsive, symmetric”

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which of the following AP has first term 26 and difference -7 a)-5 b)5 c)3 d)8