let a = {l, m,n, o,p}, b = {o, p,q, r}, and c = {r, s,t, u}. find the following
(a ∪ b) ∩ c
a ∩ (c ∪ b)
(a ∩ b) ∪ c
at a newsstand, out of 46 customers, 27 bought the daily news, 18 bought the tribune, and 6 bought both papers. use a venn diagram to answer the following questions:
how many customers bought only one paper?
how many customers bought something other than either of the two papers?
state whether each pair of sets is equal, equivalent, or neither.
{d, o,g}: {c, a,t}
{run} : {{r, u,n}
{t, o,p} : {p, o,t}

Answer and Step-by-step explanation:

A = {l,m,n,o,p}

B = {o,p,q,r}

C = {r,s,t,u}

(A ∪ B) ∩ C  

(A ∪ B) = {l,m,n,o,p,q,r}

C = {r,s,t,u}

(A ∪ B) ∩ C  = {r}

A ∩ (C ∪ B)

(C ∪ B)  = {o,p,q,r,s,t,u}

A = {l,m,n,o,p}

A ∩ (C ∪ B)  = {o,p}

(A ∩ B) ∪ C

(A ∩ B) = {o,p}

C = {r,s,t,u}

(A ∩ B) ∪ C = {o,p,r,s,t,u}

At a newsstand, out of 46 customers, 27 bought the Daily News, 18 bought the Tribune, and 6 bought both papers. Use a Venn diagram to answer the following questions:

only daily news: 21 (27-6)

only tribune: 12 (18-6)

Total newspaper: 39 (21+12+6)

Other than newspapers: 7 (46 - 39)

How many customers bought only one paper? 21+12 = 33

How many customers bought something other than either of the two papers? 7

equal, equivalent, or neither.

{d,o,g}: {c,a,t}  equivalent

{run} : {{r,u,n}  equal

{t,o,p} :{p,o,t}  equal

answer: a and b

step-by-step explanation: