Practice Disjunction in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A disjunction P \vee Q is a compound statement that is true whenever at least one of its parts is true.
At least one must be true. Logical OR is inclusive — "P or Q or both" — unlike the exclusive everyday "either/or."
Example 1
easyLet p: '2 is even' and q: '2 is odd'. Evaluate p \lor q and explain the result.
Example 2
mediumFind all real x satisfying 'x < -1 or x > 3', and express as a union of intervals.
Example 3
easyEvaluate: (a) 'F \lor T', (b) 'F \lor F', (c) 'T \lor T'.
Example 4
mediumUse a truth table to verify De Morgan's Law: \neg(p \lor q) \equiv \neg p \land \neg q.