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