Is it lattice

Question

Why is  it not lattice?

Comments

its a lattice.
Lattice : A poset (L , ≤) is a Lattice iff for all a , b ∈ L LUB(a,b) and GLB(a,b) both exist and ∊ L  

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In made easy test series they have said it is not a lattice.

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reason?

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No reason has given.

Answer 1

A lattice must be first a poset i.e. it should be reflexive , anti-symmetric and transitive.

Here b ≤ c   & c ≤ b  so, it is not antisymmetric & hence not a lattice.

Comments

Thank you