Question

In boolean algebra, we can define a relationship <= by saying a<= b means that a.b = a. By quoting properties of a Boolean algebra, verify the following propertiies this relationship has:

a) a<=a
b) if a <= b and b<= a, then a =b

Answer 1

In boolean algebra, the relationship <= is defined by saying that a <= b means that a.b = a. This relationship has the reflexive property and if a <= b and b <= a, then a = b.

Step-by-step explanation:

In boolean algebra, the relationship <= is defined by saying that a <= b means that a.b = a. Let's verify the properties of this relationship using properties of Boolean algebra:

a) Reflexive Property: For any value a, a.b = a is always true. Therefore, a <= a holds.

b) If a <= b and b <= a, then a.b = a and b.a = b. By commutative property, we can say that a.b = b.a. So, a = b.