Determine whether p ∧ (p → q) and p ∧ q are logically equivalent.
1 answer:
Answer:
Yes they are logically equivalent
p∧(p→q)≡p∧q
Step-by-step explanation:
The statements are logically equivalent if they have the same truth tables. So let´s use truth tables in order to determine if they are logically equivalent or not:
The picture that I attached you shows the truth table for each case. As you can see, p∧(p→q) has exactly the same truth values as p∧q. So we can conclude that they are logically equivalent.
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Answer:
(a)
degree is 4
it is binomial
(b)
degree is 2
it is trinomial
(c)
degree is 3
it is monomial
Step-by-step explanation:
(a)
we are given function as
Degree:
we know that degree is highest exponent value
so, degree is 4
Number of terms:
we can see that there are two terms
so, it is binomial
(b)
we are given function as
Degree:
we know that degree is highest exponent value
so, degree is 2
Number of terms:
we can see that there are three terms
so, it is trinomial
(c)
we are given function as
Degree:
we know that degree is highest exponent value
so, degree is 3
Number of terms:
we can see that there are one term
so, it is monomial