Dado el conjunto A = {x ∈ N / x es divisor de 48}, determina, en cada caso, un conjunto B tal que se cumplan las condiciones indicadas.

a. A U B = {1, 2, 3, 4, 6, 8, 12, 16, 20, 24, 28, 48}

b. A ∩ B = {1, 2, 3, 6}

c. A U B = {1, 2, 3, 4, 5, 6, 8, 12, 16, 24, 40, 48}

d. A ∩ B = ∅

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)