alleryStart learning →Pick the pattern that holds in every possible case:
Ap ∧ ~ p
Bp ∨ ~ p
Cp ∧ q
Dp → ~ p
Answer & Solution
Correct answer: B. p ∨ ~ p
Either p or its negation is true, so p ∨ ~ p is always true.
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Related questions
The lamp in a parallel circuit of two switches is off only whenIn switching tests, the value 1 stands for a switch that isTwo switches wired side by side, in parallel, act likeTwo switches wired one after another, in series, act likeJoining any statement p with a tautology by 'or' always yieldsSimplify p ∨ (p ∧ q) using absorption:Rewriting 'p if and only if q' using implications givesRewriting an implication p → q using only ~ and ∨ gives