Answer: The given logical equivalence is proved below.
Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :
P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)
We know that
two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.
The truth table is as follows :
P Q ∼P ∼Q P⇔ Q ∼P ∨ Q ∼Q ∨ P (∼P ∨ Q)∧(∼Q ∨ P)
T T F F T T T T
T F F T F F T F
F T T F F T F F
F F T T T T T T
Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.
Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).
Answer:
133
Step-by-step explanation:
the measure doesn't change if they just rotate it
2a^2+4a+1 is equivalent to 4a+4/2a*a^2/a+1
Answer: Analysis
Step-by-step explanation:
When analysing a project, one must try to find out everything that could impart on the success of the project such that any problems can be fixed and any potential problems be made contingencies for.
This is why it is here that you check to see whether and which goals are conflicting so that they can be fixed or aligned to ensure that the project comes out as a success.