TITLE: Explain the Absorption Law
QUESTION [5 upvotes]: I am currently in a Discrete Math class and reviewing some of my terminology and I don't really understand the Absorption Law. I am not looking for a proof or a truth table but an explanation in layman's terms.
Absorption Law
$$
A ∨ (A ∧ B) = A
$$
$$
A ∧ (A ∨ B) = A
$$
$$
A ∪ (A ∩ B) = A
$$
$$
A ∩ (A ∪ B) = A
$$

REPLY [2 votes]: $A\vee (A\wedge B) \\ = (A\wedge T) \vee (A \wedge B) \\= A \wedge (T \vee B) \\= A \wedge T \\= A$
Note : in the third line i used the inverse of distributive law