Compound Statement

Pronunciation: /ˈkɒm paʊnd ˈsteɪt mənt/ Explain

A compound statement is two or more statements connected with logical operators such as 'and' and 'or'.

Number line with a hollow dot on 1 and a solid dot on 5 with a line connecting the dot at 1 and the dot at 5.
Figure 2: Example of a compound algebraic statement.

Three compound statements represented by Venn diagrams. 'A and B' is represented by two overlapping circles with the interiors of both circles filled in. 'A or B' is represented by two overlapping circles with only the parts in common filled in. '(A or B) and C' is represented by three overlapping circles. The area common to A and B is filled in and all the area of C is filled in.
Figure 1: Examples of compound logical statements.


  1. W. V. Quine. Elementary Logic. revised edition. pp 7-9. Harvard University Press. October 15, 1980. Buy the book
  2. A. G. Hamilton. Logic for Mathematicians. 2nd edition. pp 1-3. Cambridge University Press. October 1, 1988. Buy the book

Cite this article as:

McAdams, David E. Compound Statement. 6/29/2018. All Math Words Encyclopedia. Life is a Story Problem LLC.

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Revision History

6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
5/5/2011: Initial version. (McAdams, David E.)

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