Question
Write the negation of the following statements:
(i) p : For every positive real number the number is also positive
(ii) q : All cats scratch
(iii) r : For every real number , either or
(iv) s : There exist a number such that
Found 5 tutors discussing this question
Discuss this question LIVE
10 mins ago
Text solutionVerified
(i) The negation of statement is as follows
There exists a positive real number such that is not positive
(ii) The negation of statement is as follows
There exists a cat that does not scratch
(iii) The negation of statement is as follows
There exists a real number such that neither nor
(iv) The negation of statement s is as follows
There does not exist a number such that
There exists a positive real number such that is not positive
(ii) The negation of statement is as follows
There exists a cat that does not scratch
(iii) The negation of statement is as follows
There exists a real number such that neither nor
(iv) The negation of statement s is as follows
There does not exist a number such that
Was this solution helpful?
150
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Question 1
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
Question 2
Check whether the following pair of statements are negation of each
other. Given reasons for your answer:
is true for every real number
There exist real numbers
for which 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 | Write the negation of the following statements: (i) p : For every positive real number the number is also positive (ii) q : All cats scratch (iii) r : For every real number , either or (iv) s : There exist a number such that |
Answer Type | Text solution:1 |
Upvotes | 150 |