Mathematical Language
Read this section for an introduction to mathematical language, then work through practice problems 1-4.
AND and OR
The compound statement " and are true" is equivalent to "both of and are true".
If or if or if both are false, then the statement
" and are true" is false. The statement " and " is true when and is false for every other value of .
The compound statement " or is true" is equivalent to "at least one of or is true".
If both and are false,
then the statement " or is true" is false. The statement " or " is true if or is any positive number. The statement is false when and for lots
of other values of .
Practice 1: Which values of make each statement true?
(a) ""