Question

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 1

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