#### Question

If p ˄ q = F, p → q = F, then the truth value of p and q is :

T, T

T, F

F, T

F, F

#### Solution

(p ∧ q) is F and(p → q) is F.

Consider the following truth table:

p | q | p ∧ q | p → q |

T | T | T | T |

T | F | F | F |

F | T | F | T |

F | F | F | T |

If (p ∧ q) is F and (p → q) is F, the their truth value must be T and F respectively

Is there an error in this question or solution?

#### APPEARS IN

Solution If p ˄ q = F, p → q = F, then the truth value of p and q is : Concept: Mathematical Logic - Truth Value of Statement in Logic.