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US-GA

Math

Georgia Math

Advanced Finite Mathematics: Abstract & Quantitative Reasoning – Set Theory

AFM.AQRa.5

Use set theory to describe relationships and equivalence when solving contextual, mathematical problems used to explain real-life phenomena.

AFM.AQR.5.1

Fully covered
Find the union, intersection, difference, complement, and Cartesian product of sets, and classify sets as equal, subsets, and power sets.

AFM.AQR.5.2

Fully covered
Justify whether the union of subsets of a set is a partition of that set.

AFM.AQR.5.3

Fully covered
Given a relation on two sets, determine whether the relation is a function and find its inverse relation, if it exists.

AFM.AQR.5.4

Fully covered
Determine the equivalence classes given an equivalence relation on a set; determine whether the union of equivalence classes of a set is a partition of that set.

AFM.AQR.5.5

Fully covered
Prove set relations, including DeMorgan’s Laws and equivalence relations.

AFM.AQR.5.6

Not covered
Prove statements in Boolean algebra.
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AFM.AQR.5.7

Not covered
Simplify Boolean algebra expressions using Karnaugh maps (K-maps).
(Content unavailable)