MATH 201 questions with complete solutions passed

MATH 201 questions with complete
solutions passed

If A ~ B then A = B

(If A is equivalent to B then A equals B) - correct answer ✔✔FALSE



If A = B then, A ~ B

(If A equals B, the A is equivalent to B) - correct answer ✔✔TRUE



If A⊂B, then A⊆B.

(If A is a proper subset of B, then A is a subset of B) - correct answer ✔✔TRUE



If set A has 127 proper subsets, find n(A). - correct answer ✔✔127 + 1 = 128

square root of 128 = 7

n(A) = 7



A∩B⊆A∪B

(The intersection of A and B is a subset of A union B) - correct answer ✔✔TRUE



n ({a, b} × {x, y, z}) = 6 - correct answer ✔✔TRUE



SET-BUILDER NOTATION - correct answer ✔✔A= {X | __, XE __}



Set-builder notation for

, A = (1, 2, 3, 4) - correct answer ✔✔A = {x | x<5, XE N} OR

A = {x | x≤4, XE N} OR

A = {x I 0<x<5, XE W}



Explain what it means for two sets to be disjoint. - correct answer ✔✔The intersection is an
empty set



For A = {a, b, c}, B = {b, c, d, e}, C = {d, e, f , g}, D = {e, f , g}, find each of the following.

a. A ∪ B

c. A ∩ B

b. A ∩ C

e. C −D

d. A × D

f. (B∩D)∪(A∩C) - correct answer ✔✔a. {a, b, c, d, e}

b. {} or ∅

c. {b,c}

d. {(a,e),(a, f),(a,g),(b,e),(b, f),(b,g),(c,e),(c, f),(c,g)}

e. {d}

f. {e}



Express the following in expanded form.

a. 759 b. 7002 c. 1001001 - correct answer ✔✔a. 7 × 100 + 5 × 10 + 9

b.7 ×1000 + 2

c.1×2^6 +1×2^3 +1



what is ____ as a base five