Using Boolean Logic

2.9 Simplify: x + xy

2.10 (a) Simplify: xy + x

2.10 (b) Simplify: xy(1 x)

2.10 (c) Simplify: x + y + (x+y)

2.11(a) Simplify the expression, the AND operator is implicit: xyz + xyz + xyz + xyz + x

2.11(b) Simplify the expression, the AND operator is implicit: xyz + xyz +y

2.12(a) Simplify the expression, by first forming the complements, secondly simplify the complemented expression, and third complementing the simplified expressions:

(x + y + z)(x + y + z)(x + y + z)