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Understanding Rational Expressions and Inequalities in Introductory Algebra

Explore rational expressions, variation constants, linear inequalities in two variables, and more in Unit Six of Introductory Algebra glossary. Learn about boundary lines, components, relations, functions, and more with detailed explanations and examples.

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Understanding Rational Expressions and Inequalities in Introductory Algebra

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  1. Introductory AlgebraGlossary Unit Six

  2. rational expression • The quotient of two polynomials with denominator not zero, an algebraic fraction.

  3. constant of variation • In the equation y = kx, the number k.

  4. inverse variation • y varies inversely as x if there is a constant k such that y = k / x.

  5. linear inequality in two variables • A linear inequality in two variables can be written in the form • Ax + By < C or Ax + By > C, • where A, B, and C are real numbers and A and B are not both zero.

  6. boundary line • In the graph of a linear inequality, the line separating the region that satisfies the inequality from the region that does not.

  7. components • In an ordered pair (x, y), x and y are called the components

  8. relation • A set of ordered pairs.

  9. domain • The set of all first components (x-values) in the ordered pairs of a relation

  10. range • The set of all second components (y -values) in the ordered pairs of a relation.

  11. function • A set of ordered pairs in which each first component corresponds to exactly one second component.

  12. Return toIntroductory Algebra • Created by • James Q. Jacobs

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