Question:
In any Lattice $L$, $((a \wedge b) \vee a) \wedge b = \_\_\_$.
In any Lattice $L$, $((a \wedge b) \vee a) \wedge b = \_\_\_$.
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In lattice operations, use the distributive and commutative properties to simplify expressions.
Updated On: Jun 16, 2025
- $a \vee b$
- $a \wedge b$
- $(a \wedge b) \vee a$
- $((a \vee b) \wedge a) \vee b$
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The Correct Option is B
Solution and Explanation
By simplifying the given expression using the properties of lattice operations (associativity, commutativity, and absorption), we find that:
\[
((a \wedge b) \vee a) \wedge b = a \wedge b
\]
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