Question

In a truth table for a conjunction of P and Q, which combination will not lead to a false truth value?
Statement P is false and statement Q is false
Statement P is true and statement Q is true
Statement P is false and statement Q is true
Statement P is true and statement Q is false

Answer 1

If statement P and statement Q are both true, then combination will not lead to a false truth value.

In classic propositional logic, a conjunction is a binary operator, that is, used to connect two propositions.

A conjunction between two propositions is always true if and only if each of the two propositions are also true, otherwise the compound proposition is false. In other words, we have following relational formulas:

$P \,\land\,Q$:

$(P, Q) \to R$

$(V, V) \to V$

$(V, F) \to F$

$(F,V) \to F$

$(F,F) \to F$

In other words, if statement P and statement Q are both true, then combination will not lead to a false truth value.

We kindly invite to see this question on propositions: https://brainly.com/question/13011669