Lattice. stuck

Question

Let $S = (0, 1)$ and define the partial order relation R on $S X S$ as follows:

((a, b) R (c, d) if (a < c) $\wedge$ (a = c $\wedge$b <= d))

Consider the following preposition:

$S_1$: R is not lattice.

$S_2$: R is not complemented lattice but lattice 

$S_3$: R is complemented lattice.

Which of the following statements is correct?

1. Only s1
2. Only s2
3. Only s3

Comments

Lakshman Patel RJIT

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3 ) only S3

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Explanation?