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Set Operations and Compound Inequalities definitions
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Intersection
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Intersection
Overlap of elements shared by two sets, often visualized in Venn diagrams and used for 'and' compound inequalities.
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Terms in this set (15)
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Intersection
Overlap of elements shared by two sets, often visualized in Venn diagrams and used for 'and' compound inequalities.
Union
Collection of all elements from two sets, combining without repetition, associated with 'or' compound inequalities.
Venn Diagram
Visual tool using overlapping circles to illustrate relationships between sets, highlighting intersections and unions.
Empty Set
Set containing no elements, represented by empty brackets or a circle with a slash, important in set operations.
Compound Inequality
Expression linking two inequalities with 'and' or 'or', requiring combined solution sets for accurate representation.
Interval Notation
Method for expressing solution sets using brackets and parentheses to indicate inclusion or exclusion of endpoints.
Bracket
Symbol used in interval notation or graphs to show inclusion of a boundary value in a solution set.
Parenthesis
Symbol in interval notation or graphs indicating exclusion of a boundary value from a solution set.
Set Builder Notation
Format using curly brackets and a 'such that' line to describe solution sets based on variable conditions.
Three Part Inequality
Inequality with a variable expression between two inequality symbols, requiring operations on all three sides.
Solution Set
Collection of values satisfying an inequality or system, often represented graphically or in interval notation.
Graph
Visual representation of solution sets on a number line, using brackets, parentheses, or circles for endpoints.
Overlap
Region where two sets share common elements, central to finding intersections in compound inequalities.
Inequality Symbol
Character such as <, >, ≤, or ≥ used to compare values and define boundaries in solution sets.
Element
Individual value or member within a set, crucial for determining intersections, unions, and solution sets.