Let a, b and c be the sets: . a={1,3,5,6,8,10} • b = {2,3,6,9} • c = {1,5,7) write these as sets explicitly (list all possible elements enclosed within {}). (a) aub (b) bnc (c) a-b (d) bxc (c) pic).

(a)

(b)

(c)

(d)

(e)

Step-by-step explanation:

Given information:

A, B and C are three sets:

A={1,3,5,6,8,10}, B = {2,3,6,9}, C = {1,5,7}

A set contains distinct elements.

(a)

We need to find the set AUB. In this set all elements of A and B are included.

(b)

We need to find the set B∩C. In this set all common elements of B and C are included.

It is an empty set because there is no common element in set B and C.

(c)

We need to find the set A-B. In this set all elements of A are included excluding the common elements of A and B.

(d)

We need to find the set BxC.

BxC is defined as

(e)

We need to find the set P(C). It is a power set of C. It is the collection of all subsets of set C.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.