How Do You Prove the Absorption Law A v (B ^ A) = A?

[ipitydatfu]

Homework Statement

prove that A v (B ^ A) = A

Homework Equations

V = union
^ = intersection
' = complement

The Attempt at a Solution

A v (B ^ A) = (A v B) ^ (A v A) (used distributive property)


ummm yeah I am kinda lost from here. much help appreciated

 

[Elucidus]

Try

A \vee (A \wedge B) = (A \wedge \bold{U}) \vee (A \wedge B)

and work from there. (Note that U is the universe.)

--Elucidus