Math 100: Chapter 3

11) A survey of 260 families showed that... A) 21 B) 31 C) 26 D) 36

A) 21

6) if n(a) = 40, n(b) = 117 and n(A u B) = 137, what is n(A intersection B)? A) 20 B) 22 C) 60 D) 10

A) 20

9) Mrs. Baker second grade class of thirty students conducted a pet ownership survey... A) 22 B) 15 C) 27 D) 10

A) 22

5) if it rains, we won't play soccer A) compound B) not compound

A) compound

28) A = {x | x is a month in a year} A) n(A) = 12 B) n(A) = 1 C) n(A) = 24 D) n(A) = 52

A) n(A) = 12

4) she was singing a simon and Garfunkel song A) not compound B) compound

A) not compound

13) for every real number r, r < 7 or r > 6. A) true B) false

A) true

26) n(A intersection B) = n(B intersection A) A) true B) false

A) true

30) {54, 55, 54, 55} = {54, 55} A) true B) fakse

A) true

7) 5 + 3 = 13 V (with underline on the bottom) 2 + 7 = 9 A) true B) false

A) true

16) all students who study get better grades Roger is a student who studies Roger will get better grades A) valid B) invalid

A) valid

8) U = {2, 4, 6, 8, 10, 12} A = {2, 6, 10} B = {2, 4, 8} C = {2, 8, 10, 12} A) B) C) D)

B)

12) the absolute value of any number is positive. A) true B) false

B) false

29) {2, 10, 15} = {0, 2, 10, 15} A) true B) false

B) false

32) (2, 7) = (7, 2) A) true B) false

B) false

27) {x | x is a 12 - headed lizard } A) infinite B) finite

B) finite

2) p represents the statement "her name is Lisa." q represents the statement "she lives in Chicago" Translate the following compound statement into words: P ^ q A) her name is Lisa or she lives in Chicago B) her name is Lisa and she lives in Chicago C) if her name is Lisa, she lives in Chicago D) her name is Lisa and she doesn't live in Chicago

B) her name is Lisa and she lives in Chicago

25) some cars are considered sporty Some cars are safe at high speeds Some sports cars are safe at high speeds A) valid B) invalid

B) invalid

31) {3, 31, 36} ___ {16, 31, 36, 46} A) Element of B) not an element of

B) not an element of

23) if she doesn't study, she won't pass her math test. A) she doesn't study and she won't pass her math test B) she doesn't study and will pass her math test C) she studies and will pass her math test D) if she doesn't study, she will pass her math test

B) she doesn't study and will pass her math test

22) you get soup or you get salad You did not get soup You got salad A) valid by reasoning of transitivity B) valid by disjunctive syllogism C) fallacy by fallacy of converse D) fallacy by fallacy of inverse

B) valid by disjunctive syllogism

18) K' intersection L A) {c, n, p} B) {c, n} C) {h, w} D) {r, s, t)

B) {c, n}

14) everyone is asleep. A) everyone is awake B) nobody is asleep C) not everyone is asleep D) nobody is awake

C) not everyone is asleep

20) students who watch tv while doing homework jeopardize their grades... A) students who watch tv will be barred from watching tv B) students who watch tv will be grounded C) students who watch tv while doing homework will not be allowed to watch tv D) students who are grounded watch tv while doing homework.

C) students who watch tv while doing homework will not be allowed to watch tv

19) x > or equal to -21 A) x < or equal to -21 B) x < 21 C) x < -21 D) x > or equal to 21

C) x < -21

17) A U L A) {c, n, p} B) {c, s} C) {c, h, n, p, r, s, t, w} D) {h, n, p, r, t, w}

C) {c, h, n, p, r, s, t, w}

21) 6 < 12 or 7 is not equal to 15 A) 6 > or equal to 12 or 7 = 15 B) 6 is less than or equal to 12 or 7 is not equal to 15 C) 6 < 12 or 7 = 15 D) 6 > or equal to 12 and 7 = 15

D) 6 > or equal to 12 and 7 = 15

3) all children like stuffed toys. A) all children like stuffed toys B) if it is not a stuffed toy, then children like it C) if children like it, then its a stuffed toy D) if it is a child, then it likes stuffed toys

D) if it is a child, then it likes stuffed toys

1) p represents the statement "it's Monday" q represents the statement "it's raining today" translate the following compound statement into words: ~p ^ ~q A) it's Monday or it's raining today B) it's not Monday or it's not raining today C) it's not the case that it's Monday and raining today D) it's not Monday and it's not raining today

D) its not monday and its not raining today

24) if m - 4 < or equal to 3, them m < or equal to 7. A) m - 4 < or equal to 3 so m > 7 B) m - 4 < or equal to 3 and m > or equal to 7 C) m - 4 > 3 and m > 7 D) m - 4 < or equal to 3 and m > 7

D) m - 4 < or equal to 3 and m > 7

15) a day late and a dollar short A) not a day late and a dollar short B) not a day late and not a dollar short C) a day later or not a dollar short D) not a day late or not a dollar short

D) not a day late or not a dollar short

10) List all possible subsets of the set {m, n}. A) {m, n} B) {m}, {n}, 0 C) {m}, {n}, {m,n} D) {m}, {n}, {m, n}, 0

D) {m}, {n}, {m, n}, 0