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vredina [299]
3 years ago
12

How to solve this truth table ( p-->q) v q p q T T T F F T F F

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

<em>Without</em> using a truth table:

(<em>p</em> ⇒ <em>q</em>) ∨ <em>q</em>   ⇔   (¬<em>p</em> ∨ <em>q</em>) ∨ <em>q</em>   ⇔   ¬<em>p</em> ∨ <em>q</em>   ⇔   <em>p</em> ⇒ <em>q</em>

<em />

<em>With</em> a table:

<em>p</em>   …   <em>q</em>   …   <em>p</em> ⇒ <em>q</em>   …   (<em>p</em> ⇒ <em>q</em>) ∨ <em>q</em>

T   …   T   …       T       …          T

T   …   F   …       F       …          F

F   …   T   …       T       …          T

F   …   F   …       T       …          T

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\qquad \qquad\huge \underline{\boxed{\sf Answer}}

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