Express the statement as a disjunction in dnf, Mathematics

Assignment Help:

State the following statement as a disjunction (in DNF) as well using quantifiers:     

There does not exit a woman who has taken a flight on each airline in the world.

Ans: Let us describe the propositions. 

Woman (x): "x is woman"

Flight (x, y): "x has taken flight on every airline y in world".

Now the following statement can be expressed as

~[∃x Woman (x) ∧ ∀y Flight (x, y)]

= ~∀y ∃x [Woman (x) ∧ Flight (x, y)]

= ∃y ∀x [~Woman (x) ∨ ~Flight (x, y)]


Related Discussions:- Express the statement as a disjunction in dnf

If a sequence is bounded and monotonic then it is convergent, Theorem ...

Theorem If {a n } is bounded and monotonic then { a n } is convergent.  Be cautious to not misuse this theorem.  It does not state that if a sequence is not bounded and/or

Determine the second derivative of q (t ) = sec (5t ), Determine the secon...

Determine the second derivative for following functions.                             Q (t ) = sec (5t ) Solution : Following is the first derivative.              Q′ (t

AREA, How do you find the distributive property any faster?

How do you find the distributive property any faster?

Slopes downward from left to right has a positive slope, Can you explain th...

Can you explain that it is true that a line that slopes downward from left to right has a positive slope?

Prove gcd value, Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc f...

Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.

Example of graphing equations, Example of Graphing Equations: Example...

Example of Graphing Equations: Example: By using the above figure, find out the distance traveled if the average speed is 20 mph and the time traveled is 40 minutes. T

Problems related to applying operations in learning maths, PROBLEMS RELATED...

PROBLEMS RELATED TO APPLYING OPERATIONS :  Some of us were testing Class 4 children with addition and subtraction problems. We gave them sums that were written horizontally and th

Solving Trig Equations, How would you solve the equation: 1+ sin(theta)= 2 ...

How would you solve the equation: 1+ sin(theta)= 2 cos^2(theta)?

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