Q:

Let A = {l,m,n,o,p}, B = {o,p,q,r}, and C = {r,s,t,u}. Find the following(A ∪ B) ∩ CA ∩ (C ∪ B)(A ∩ B) ∪ CAt 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}

Accepted Solution

A:
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 = 33How many customers bought something other than either of the two papers? 7equal, equivalent, or neither.{d,o,g}: {c,a,t}  equivalent{run} : {{r,u,n}  equal{t,o,p} :{p,o,t}  equal