Logical Connectives: Videos & Practice Problems

Ten is not a whole number and Two times seven is not fourteen; False

Ten is not a whole number and Two times seven is fourteen; False

Ten is a whole number and Two times seven is fourteen; True

Ten is not a whole number and Two times seven is fourteen; True

Five is not less than three and Ten is a whole number; True

Five is less than three and Ten is a whole number; False

Five is not less than three and Ten is not a whole number; False

Ten is not a whole number and Five is less than three; True

Ten is not a whole number, Five is not less than three, and Two times seven is fourteen; True

Ten is a whole number, Five is not less than three, and Two times seven is fourteen; False

Ten is not a whole number, Five is not less than three, and Two times seven is fourteen; False

Ten is a whole number, Five is not less than three, and Two times seven is fourteen; True

Ten is not a whole number and Five is not less than three; False

It is not true that Ten is a whole number and Five is less than three; False

It is not true that Ten is a whole number and Five is less than three; True

Ten is not a whole number and Five is not less than three; True

~$\left(p\Lambda q\right)$, True

~$p\Lambda q$; True

~$(p Λ q)$, False

~$p\(\Lambda\) q$; False

~$q Λ$~$r$; True

~$q\Lambda$~$r$; False

~$q Λ$$r$; True

~$q Λ$$r$; False

$p\Lambda q\Lambda$~$r$; False

$p Λ q Λ$~$r$; True

$p Λ q Λ$$r$; False

$p Λ q Λ$$r$; True

~$(rΛq)$; True

~$r\Lambda q$; False

~$r\(\Lambda\) q$; True

~$\left(r\Lambda q\right)$; False

Wolves don't howl or Dogs don't purr; False

Wolves don't howl or Dogs don't purr; True

Wolves don't howl or Dogs purr; False

Wolves don't howl or Dogs purr; True

Dogs don't purr or mice don't squeak; True

Dogs don't purr or mice don't squeak; False

Dogs purr or mice squeak; True

Dogs purr or mice squeak; False

Dogs don't purr, mice don't squeak, and wolves don't howl; True

Dogs don't purr, mice don't squeak, or wolves don't howl; True

Dogs don't purr, mice don't squeak, or wolves don't howl; False

Dogs don't purr, mice don't squeak, and wolves don't howl; False

It is not true that dogs purr or mice squeak; True

It is not true that dogs purr and mice squeak; False

It is not true that dogs purr and mice squeak; True

It is not true that dogs purr or mice squeak; False

p V q; True

~p V q; False

~p V q; True

p V q; False

~q V ~r; True

~q V ~r; False

q V r; False

q V r; True

p V q V ~r; True

~p V ~q V r; False

~p V ~q V r; True

p V q V ~r; False

~(p V q); True

~p V q; False

~(p V q); False

~p V q; True