Question

in any boolean algebra show that if a≤b then a +bc = b(a+c)

​

Answer 1

Answer:

P1: a+b = b+a, a∙b=b∙a

(commutative)

P2: a+bc = (a+b)∙(a+c) (distributive)

a∙(b+c) = a∙b + a∙c

P3: a+0=a, a∙1 = a (identity)

P4: a+a’=1, a∙a’= 0 (complement)

2