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

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

Find the surface-radius of earth, a) The distance d that can be seen fro...

a) The distance d that can be seen from horizon to horizon from an airplane varies directly as the square root of the altitude h of the airplane. If d = 213 km for h = 3950

What are real numbers, The hole set of irrational and rational numbers is t...

The hole set of irrational and rational numbers is the set of real numbers and is representing by R. Thus, the real numbers can also be describe in terms of position of a point on

Indeterminate form, Indeterminate form : The 0/0 we initially got is calle...

Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work.  In the denominator

Fractions, how do you do fractions mixed numbers and how do you add and sub...

how do you do fractions mixed numbers and how do you add and subtract fractions.

Addition and subtraction of rational expressions, Now come to addition and ...

Now come to addition and subtraction of rational expressions.  Following are the general formulas.  (a/c) + (b/c) = (a + b)/c

Limit properties, Limit Properties :  The time has almost come for us t...

Limit Properties :  The time has almost come for us to in fact compute some limits.  Though, before we do that we will require some properties of limits which will make our lif

What is the marginal product of labor function, Your engineering department...

Your engineering department estimated the following production function. Q = 15L 2 - 0.5L 3 a. What is the marginal product of labor function, MP L ? b. What is the aver

What is the greatest common factor of 24 and 64, What is the greatest commo...

What is the greatest common factor of 24 and 64? List the factors of 24 and 64. The largest factor that they have in common is the greatest common factor. Factors of 24: 1,

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