Express the negation of the statement, Mathematics

Assignment Help:

States the negation of the statement ∀x ∃y (xy = 1) so that no negation precedes a quantifier.

Ans: The negation of the following statement is written as ~ [∀x ∃y (xy = 1)]. And

 ~[∀x ∃y (xy = 1)] = ∃x [~∃y (xy = 1)]

= ∃x ∀y [~(xy = 1)]

= ∃x ∀y (xy ≠ 1)

 


Related Discussions:- Express the negation of the statement

Monica, Express area of a square with sides of length 5ab as a monomial.

Express area of a square with sides of length 5ab as a monomial.

Determine if the three vectors lie in similar plane or not, Determine if th...

Determine if the three vectors a → = (1, 4, -7), b → = (2, -1, 4) and c → = (0, -9, 18) lie in similar plane or not. Solution Thus, as we noted prior to this example al

Fractions, what is equizilent to 2/5

what is equizilent to 2/5

Area, find area of rectangles and triangles put together

find area of rectangles and triangles put together

Decision-making under conditions of uncertainty, Decision-Making Under Cond...

Decision-Making Under Conditions of Uncertainty With decision making under uncertainty, the decision maker is aware of different possible states of nature, but has insufficient

Pre Calculus, 5 2 ----- - ----- x-1 x+1 ------------------...

5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1

Find out the greatest common factor, Find out the Greatest Common Factor? ...

Find out the Greatest Common Factor? The largest number that is a common factor of two numbers (that is, both numbers share the same factor) is called the greatest common facto

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd