If p is true and q is false, the p-> gis

true.

Therefore If p is true and q is false, the p → q is False.

Step-by-step explanation:

' → ' is Conditional or Implication sign

It is the symbol for the connective phrase' If ... then '

If 'p' and 'q' are statements then " p→q " it read as p implies q

The Truth Table for Implication is below

p q p→q

True True True

True False False

False True True

False False True

Therefore If p is true and q is false, the p → q is False.