3. Logic

Translate the following conjunctions from symbols to words. Then, determine the truth value.

$p$ : Ten is a whole number. $q$: Five is less than three. $r$: Two times seven is fourteen.

$p Λ r$

Translate the following disjunctions from words to symbols. Then, determine the truth value.

p: All books have chapters.  q: Some books have pictures.  r: Some books have glossaries.

Some books don’t have chapters or some books have pictures.

Translate the following conjunctions from words to symbols. Then, determine the truth value.

$p$: All courses give tests. $q$: Some courses give homework. $r$: Some courses have textbooks.

It is not true that some courses have textbooks and give homework.

Translate the following disjunctions from words to symbols. Then, determine the truth value.

p: All books have chapters.  q: Some books have pictures.  r: Some books have glossaries.

All books don’t have pictures or don’t have glossaries.

Translate the following disjunctions from symbols to words. Then, determine the truth value.

p: Dogs purr. q: Mice squeak.  r: Wolves howl.

~(p V q) 

Translate the following disjunctions from symbols to words. Then, determine the truth value.

$p$: Dogs purr. $q$: Mice squeak. $r$: Wolves howl.

~p V ~q V ~r

Translate the following disjunctions from words to symbols. Then, determine the truth value.

p: All books have chapters.  q: Some books have pictures.  r: Some books have glossaries.

It is not true that all books have chapters or some books have pictures.

Translate the following conjunctions from symbols to words. Then, determine the truth value.

$p$: Ten is a whole number. $q$: Five is less than three. $r$: Two times seven is fourteen.

$p Λ$~$q Λ r$.

Translate the following conjunctions from words to symbols. Then, determine the truth value.

$p$: All courses give tests. $q$: Some courses give homework. $r$: Some courses have textbooks.

Some classes don’t give tests and give homework.

Translate the following disjunctions from symbols to words. Then, determine the truth value.

$p$: Dogs purr. $q$: Mice squeak. $r$: Wolves howl.

$rVp$

Translate the following conjunctions from words to symbols. Then, determine the truth value.

$p$: All courses give tests. $q$: Some courses give homework. $r$: Some courses have textbooks.

All courses don’t give homework and don’t have textbooks.

Translate the following conjunctions from words to symbols. Then, determine the truth value.

$p$: All courses give tests. $q$: Some courses give homework. $r$: Some courses have textbooks.

All courses give tests, some courses give homework, and all courses don’t have textbooks.

Translate the following disjunctions from words to symbols. Then, determine the truth value.

p: All books have chapters.  q: Some books have pictures.  r: Some books have glossaries.

All books have chapters, some books have pictures, or all books don’t have glossaries.

Translate the following conjunctions from symbols to words. Then, determine the truth value.

$p$: Ten is a whole number. $q$: Five is less than three. $r$: Two times seven is fourteen.

$q Λ p$

Translate the following disjunctions from symbols to words. Then, determine the truth value.

$p$: Dogs purr. $q$: Mice squeak. $r$: Wolves howl.

~$p$$V$~$q$