Practice Representation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A way of encoding or expressing mathematical ideas using symbols, diagrams, or other forms.

The same idea can be shown in multiple ways—each reveals different aspects.

Example 1

easy
Represent the set A = \{1,2,3,4,5,6,7,8,9,10\} with B = \{2,4,6,8,10\} and C = \{1,3,5\} using three different representations: (1) roster notation, (2) set-builder notation, (3) a Venn diagram description.

Example 2

medium
The inequality |x - 3| < 2 can be represented as an absolute value inequality, a compound inequality, and an interval. Convert between all three.

Example 3

easy
Write the solution set of x^2 = 9 in (a) roster notation, (b) set-builder notation.

Example 4

medium
A function f triples its input. Represent f as (a) a formula, (b) a table for inputs \{1,2,3,4\}, (c) a verbal description.
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