Write the converse, inverse, and contrapositive ofeach of the following implicat
ID: 3727809 • Letter: W
Question
Write the converse, inverse, and contrapositive ofeach of the following implications. For each implication, determine its truth value as well as the truth values of its corresponding converse, inverse, and contrapositive.* a) If it snows today, I will ski tomorrow. b) I come to class whenever there is going to be a quiz. c) A positive integer is a prime only if it has no divisors other than 1 and itself. HINT:If it snows today, I will ski tomorrow.Of the form "If p, qr Its truth value is: True statement unless it snows today, but I will not ski tomorrow. (which is of the form: T->F) a) This means that the statement is always True except when it snows today, but I will not ski tomorrow which is False because of the form T E-Explanation / Answer
Note:- p->q
Converse:-q->p
Inverse:-~p->~q
contrapostive:-~q->~p
a)Converse:- if i will ski tomorrow then it snows today
Inverse:- if it doesn't snows today then i won't ski tomorrow
Contrapositve:- if i won't ski tomorrow then it doesn't snows today.
b)Converse:-if there is quiz is going then i come to class
Inverse:-if I won't come to class then there quiz will not going to happen
Contrapostive:-If there does not quiz is going then i will not come to class
C)Converse:-if a number has only 1 and itself as divisors then that number is prime
Inverse:- if a number is not prime then it does not having divisors as one and itself
Contrapositive:- if number is not having divisors as 1 and itself then it is not a prime number.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.