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Consider the binary operation ∧ on the set {1, 2, 3, 4, 5} defined by a ∧ b = min {a, b}. Write the operation table of the operation ∧
Solution:
The binary operation ∧ on the set {1, 2, 3, 4, 5} defined by
a ∧ b = min {a, b}
for all a, b ∈ {1, 2, 3, 4, 5}.
The operation table for the given operation ∧ can be given as:
Ù | 1 | 2 | 3 | 4 | 5 |
1 | 1 | 1 | 1 | 1 | 1 |
2 | 1 | 2 | 2 | 2 | 2 |
3 | 1 | 2 | 3 | 3 | 3 |
4 | 1 | 2 | 3 | 4 | 4 |
5 | 1 | 2 | 3 | 4 | 5 |
NCERT Solutions for Class 12 Maths - Chapter 1 Exercise 1.4 Question 3
Consider the binary operation ∧ on the set {1, 2, 3, 4, 5} defined by a ∧ b = min {a, b}. Write the operation table of the operation ∧
Summary:
For the given binary operation ∧ on the set {1, 2, 3, 4, 5} defined by a ∧ b = min {a, b}, the operation table for the given operation ∧ has been shown in the solution
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