World's only instant tutoring platform
dropdown-logo
Become a tutorPartnershipsAbout usStudent loginTutor login
About us
Login
App StorePlay Store
Get 2 FREE Instant-Explanations on Filo with code FILOAPP
Re write each of the following statements in the form "p if an
Question

Re write each of the following statements in the form "p if and only if q" 
(i) p : If you watch television then your mind is free and if your mind is free then you watch television
(ii) q : For you to get an A grade it is necessary and sufficient that you do all the homework regularly
(iii) r : If a quadrilateral is equiangular then it is a rectangle and if a quadrilateral is a rectangle then it is equiangular

Views

Views: 865 students

tutor 0tutor 1tutor 2
Found 3 tutors discussing this question
Emily Discussed
Re write each of the following statements in the form "p if and only if q" 
(i) p : If you watch television then your mind is free and if your mind is free then you watch television
(ii) q : For you to get an A grade it is necessary and sufficient that you do all the homework regularly
(iii) r : If a quadrilateral is equiangular then it is a rectangle and if a quadrilateral is a rectangle then it is equiangular
5 mins ago
Discuss this question LIVE
5 mins ago

Text SolutionText solutionverified iconVerified

(i)  You watch television if and only if your mind is free.
(ii)  You get an grade if and only if you do all the homework regularly.
(iii)  A quadrilateral is equiangular if and only if it is a rectangle.
Was this solution helpful?
150
Share
Report
One destination for complete JEE/NEET preparation
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
Instant 1:1 help, 24x7
60, 000+ Expert tutors
60, 000+ Expert tutors
Textbook solutions
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Big idea maths, McGraw-Hill Education etc
Essay review
Essay review
Get expert feedback on your essay
Get expert feedback on your essay
Schedule classes
Schedule classes
High dosage tutoring from Dedicated 3 experts
High dosage tutoring from Dedicated 3 experts
Trusted by 4 million+ students

Practice questions from similar books

Question 1
Write the negation of the following statement: All primes are odd.

View solution

Question 2
Write the negation of the following statement and check whether the a resulting statement is true: There does not exist a quadrilateral which has all its sides equal.

View solution

Question 3
Write the component statements of the following compound statements and check whether the compound statement is true or false: is rational number or an irrational number. The school is closed, if there is a holiday or Sunday. A rectangle is a quadrilateral or a 5-sided polygon.

View solution

Question 4
For the given statements identify the necessary and sufficient conditions. t: If you drive over 80 km per hour, then you will get a fine

View solution

filo Logo
Doubt Icon Doubt Icon

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes
Question Text
Re write each of the following statements in the form "p if and only if q" 
(i) p : If you watch television then your mind is free and if your mind is free then you watch television
(ii) q : For you to get an A grade it is necessary and sufficient that you do all the homework regularly
(iii) r : If a quadrilateral is equiangular then it is a rectangle and if a quadrilateral is a rectangle then it is equiangular
Answer TypeText solution:1
Upvotes150