# discrete mathematics with applications

posted by .

A logical equivalance is derived from Theorem,supply a reason for each step;

(pv~q)^(~pvq)
ß(~q v p)^(~q v ~p) by_________
ß ~q v(p ^ ~p) by_________
ß ~q v c by_________
ß ~q by_________

Therefore,(p v~q)^ (~p v ~q)ß ~q.

## Similar Questions

1. ### geometry

Give the reason for the step taken from a proof. <1 and <2 are a linear pair given m<1 + m<2 = 180* ?
2. ### geometry

Give the reason for the step taken from a proof. <1 is the supplement of <2---->Given <3 is the supplement of <4---->Given <2 = <4----------------------->Given <1 = <3----------------------->?
3. ### Math- Truth Tables

Construct a Truth Table for the given statement: 1. p implies ~(pVq) 2. ~(p AND q)Vp I thought this is how to do it, but my teacher marked it incorrect: 1. p q ~(pVq) p implies ~(pVq) T T F T implies T= T T F F T implies F= F F T F …
4. ### Math

Construct a Truth Table for the given statement: 1. p implies ~(pVq) 2. ~(p AND q)Vp I thought this is how to do it, but my teacher marked it incorrect: 1. p q ~(pVq) p implies ~(pVq) T T F T implies T= T T F F T implies F= F F T F …
5. ### Mathematics

Dear Jiskha, I will appreciate if you can show me step by step how this geometry math question is solved. Using the Pythagorean Theorem,how do i find the length the unknown side 'b'. Side 'a' has a measurement of 1...the hypotenuse: …
6. ### discrete mathematics with applications

Determine which of the following pairs of statements forms are logically equivalent. Justify your answer using truth tables and include a few words of explanation. Read "t" to be a tautology and "c" to be a contradiction: 26. (p^q)v(p^r)and(pvq)^r …
7. ### Discrete Mathematics

How many elementary operations are used in the following algorithm?
8. ### Discrete Mathematics

Let p and q be propositions. Use Logical equivalences to show that (p ^ (~ (~ p V q))) V (p ^ q) = p
9. ### Discrete Math

There are 150 students taking Discrete Mathematics II, Calculus II, and Physics I courses. Of these 51 are taking Discrete Mathematics II, 111 are taking Calculus II, and 63 are taking Physics I. There are 41 taking Discrete Mathematics …
10. ### Discrete Mathematics and its Application

Am not understanding , how to do the truth or Venn diagram to show a statement pv(q^r)is equivalent to (pvq)^(pvr). How can I show the statement is not equivalent to (pvq)^r. I have to explain my answer in truth or Venn diagram, but …

More Similar Questions