2.3 Logically Equivalent Definition 3.88: If the truth tables for two statements are identical, then the two statements are said to be logically equivalent and we denote it by. Ехample 3.89 a) Show that ~(p ^q) → (~p) V(~q) * b) Show (p = q) = (~p V q) * cl Show (n Y a) e (~ n) A(~ a)

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2.3 Logically Equivalent
Definition 3.88: If the truth tables for two statements are identical, then the two statements
are said to be logically equivalent and we denote it bye.
Ехample 3.89
a) Show that ~ (p ^q) = (~p) V (~q)
* b) Show (p → q) → (~p V q)
* c) Show - (p V q) → (~ p) ^ (~ q)
d) Isr A (p V q) = (r ^ p) V (r A g)?
Transcribed Image Text:2.3 Logically Equivalent Definition 3.88: If the truth tables for two statements are identical, then the two statements are said to be logically equivalent and we denote it bye. Ехample 3.89 a) Show that ~ (p ^q) = (~p) V (~q) * b) Show (p → q) → (~p V q) * c) Show - (p V q) → (~ p) ^ (~ q) d) Isr A (p V q) = (r ^ p) V (r A g)?
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