Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
p = The mouse is in the house.
q = The cat is hungry.
If the mouse is not in the house, then the cat is hungry.
~(p →q)
~(p → q)
~p → q
~p → q

Question

Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
p = The mouse is in the house.
q = The cat is hungry.
If the mouse is not in the house, then the cat is hungry.
~(p →q)
~(p → q)
~p → q 
~p → q

anonymous · Answer

~p → q

jim_thompson5910 · Answer

translates to ~p → q and the truth table is 


p          q           ~p          ~p → q 
---------------------------
T           T            F               T
T           F            F               T
F           T           T                T
F           F           T                F