SETS

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You should be able to

 explain concepts relating to sets;

 

Examples and non-examples of sets, description of sets using words, membership of a set, cardinality of a set, finite and infinite sets, universal set, empty set, complement of a set, subsets.

 

 represent a set in various forms;

 

Listing elements, for example, the set of natural numbers 1,2 and 3. Set builder notation, for example, {x: 0‹x‹4 where x N}. Symbolic representation, for example, A={1,2,3}.

 

 describe relationships among sets using set notation and symbols;

 

Universal, complement, subsets, equal and equivalent sets, intersection, disjoint sets and union of sets.

 

 list subsets of a given set;

 

Number of subsets of a set with n elements.

 determine elements in intersections, unions and complements of sets;

 

Intersection and union of not more than three sets. Apply the result

 construct Venn diagrams to represent relationships among sets;

 

Not more than 4 sets including the universal set.

 solve problems involving the use of Venn diagrams;

 solve problems in Number Theory, Algebra and Geometry using concepts in Set Theory.