Question:
In any Lattice $L$, $((a \wedge b) \vee a) \wedge b = \_\_\_$.
In any Lattice $L$, $((a \wedge b) \vee a) \wedge b = \_\_\_$.
Show Hint
In lattice operations, use the distributive and commutative properties to simplify expressions.
Updated On: Jun 16, 2025
- $a \vee b$
- $a \wedge b$
- $(a \wedge b) \vee a$
- $((a \vee b) \wedge a) \vee b$
Hide Solution
Verified By Collegedunia
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:
\[
((a \wedge b) \vee a) \wedge b = a \wedge b
\]
Was this answer helpful?
0
0
Top Questions on Software
- Describe the usage of the tools of Adobe Photoshop.
- Briefly explain the uses of Adobe InDesign.
- The shortcut key in a spreadsheet for making the text bold is _________ .
- What is the difference between cell and cell address?
In the spiral model of software development, the primary determinant in selecting activities in each iteration is ________.
View More Questions
Questions Asked in AP PGECET exam
- Suppose \( R_1 \) and \( R_2 \) are reflexive relations on a set \( A \). Which of the following statements is correct?
- AP PGECET - 2025
- Set Theory
- Determine the value of $\lambda$ and $\mu$ for which the system of equations
$x + 2y + z = 6$,
$x + 4y + 3z = 10$,
$2x + 4y + \lambda z = \mu$
has a unique solution.- AP PGECET - 2025
- Linear Algebra
For a two-port network to be reciprocal, it is necessary that ……..
- AP PGECET - 2025
- Electrical power
- Which strategy can be used to minimize the shear damage in bioreactors used for animal cell culture?
- AP PGECET - 2025
- Cell Biology
- Let \( z \) be a complex variable and \( C : |z| = 3 \) be a circle in the complex plane. Then,\[ \oint_C \frac{z^2}{(z - 1)^2(z + 2)} \, dz = \]
- AP PGECET - 2025
- Complex numbers
View More Questions