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Understanding Algebraic Inequalities and Notations for Sets

Learn about solutions of inequalities, equivalent inequalities, compound inequalities, interval notation, set representations, set-builder notation, and set operations in this comprehensive Algebra vocabulary chapter.

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Understanding Algebraic Inequalities and Notations for Sets

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  1. Algebra I Vocabulary Chapter 3

  2. Any number that makes an inequality true is called a

  3. Solution of the inequality

  4. Inequalities that have the same solution are called

  5. Equivalent inequalities

  6. Inequalities consisting of two distinct inequalities joined by the word and or the word or are called

  7. Compound inequalities.

  8. Describing a portion of the number line using parentheses, brackets, and infinity is called

  9. Interval notation.

  10. Indicating a set by listing the elements in the set between curly braces is called

  11. Roster form

  12. Describing the properties of an element in a set between curly braces is called

  13. Set-builder notation

  14. The set symbol { } translates to

  15. “the set containing”

  16. The set symbol Ø translates to

  17. “the empty set” and means the set that

  18. Contains no elements.

  19. The set symbol U translates to

  20. “union” and means all the elements in

  21. One set or the other

  22. The set symbol ∩ translates to

  23. “intersection” and means all the elements that are

  24. Common to both sets.

  25. The largest set used for a particular discussion is called the

  26. Universal set.

  27. A set consisting of elements from a given set is called a

  28. A subset, and the symbol for subset is

  30. A’ is read

  31. “A complement” and the complement of set A contains all those elements in

  32. The universal set not in set A.

  33. Sets that have no elements in common are called

  34. Disjoint sets.

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