Proficiency #12. [Definitions on Sets] Which of the following are true for all sets A, B,C in the universal set U? (Choose all that apply.) I. AUB = {x € U | (x € A) ^ (x e B)}. II. If AC B, then BU Aº = U. III. ACAN B. IV. AU (BNC) = (AU B) N (A UC). V. If An B = Ø, then B C Aº. VI. AC Bº if and only if (x € A)(x & B). VII. U = AU Aª.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
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![Proficiency #12. [Definitions on Sets]
Which of the following are true for all sets A, B, C in the universal set U? (Choose all
that apply.)
I. AUB = {x € U | (x E A) ^ (x E B)}.
II. If AC B, then BU A° = U.
II. А С Аn B.
IV. AU(BNC) =
(AUB)N (AUC).
V. If An B = Ø, then B C A°.
VI. AC Bº if and only if (x € A)(x ¢ B).
VII. U = A U A°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ce9e3a3-dedc-4902-85ce-d3b117f9e3ef%2Fb2fe80b2-0e39-4384-8e78-c310c2d4cc3d%2F659yoke_processed.png&w=3840&q=75)
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