2.1 #64. The set of years in which the number of IRS audits of individual taxpay

Question

2.1 #64.
The set of years in which the number of IRS audits of individual taxpayers were between 0.5 million and 2 million

{96,97,98,99}


2.3 In Exercises 59–68, let

U = {a, b, c, d, e, f, g, h, i, j, k}
A = {a, c, d, f, g, i}
B = {b, c, d, f, g}
C = {a, b, f, i, j}

# 62.
A' u B' =
A' = {b,e,h,j,k}
B' = {a,e,h,i,j,k}
A'uB'= {a,b,e,h,i,j,k}


In Exercises 1–15, draw a Venn diagram to obtain the answers.

2.5 #10.
Colleges and Universities In a survey of four-year colleges and universities, it was found that

356 offered a liberal arts degree.
293 offered a computer engineering degree.
285 offered a nursing degree.
193 offered a liberal arts degree and a computer engineering degree.
200 offered a liberal arts degree and a nursing degree.
139 offered a computer engineering degree and a nursing degree.
68 offered a liberal arts degree, a computer engineering degree, and a nursing degree.
26 offered none of these degrees.


a) How many four-year colleges and universities were surveyed? 496

Of the four-year colleges and universities surveyed, how many offered
b) a liberal arts degree and a nursing degree, but not a computer engineering degree? 132
c) a computer engineering degree, but neither a liberal arts degree nor a nursing degree? 29
d) exactly two of these degrees? 264
e) at least one of these degrees? 74

Explanation / Answer

Everything is correct but the last two (d, e) d. Should be 132+125+71 = 328 e. Should be 496 - 26 = 470

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