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 F F T F
T F F T T T T T
F T T F T T T T
F F T T F T F F
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:
15
Step-by-step explanation:
To find the number of sites, count the number of points.
There are 15 points, so there are 15 sites.
Answer:
4.2,220%,-3/5,-4'5
Step-by-step explanation:
Answer:
your answer is 50°
Step-by-step explanation:
Hope this helps
If you don’t tie your shoes, people could step on them.
If you don’t tie your shoes, they can get really dirty.
If you trip over your shoelaces, you will fall or maybe injure yourself.
Hope this helped!
