1. (2 points) Write a negation for the following statements: (a) If N is a nonagon,...
Discrete Math in the final answer) 6. Write the negation of the following statements (without using (a). Un e Z+, 3p EP, n3 <p < (n + 1)3. (b). Vce R+,3K EZ+, Vn e Z, n > K → n n+100 < c.
6. (4 marks) Write down the negation of each of the following statements. Then determine whether the statement or its negation is true, and explain why (a) x E R, y E R such that xy 5. (b) z, y E R+ such that V z E Z+, > z.
16)write the negation of the following statements q: There exists a rational number x such that x2=2
17)write the negation of the following statements r: All birds have wings
EXERCISES 6 Write and simplify the negation to the following le statements a) 3x<x2+1< 5 W . x>2 Vy<3 6) $9xty >3 .01.29 Izs1. (x-y< L da ih abzc ad bad c) 4x<1e y>2 acd d) a<b<ce bread 2 i) { x=1 Vy <3 e) x+1 <4 K x 2 <24 <3x+S Iz>y>x. f) ab. (cs d & cze) g) { x< 1 v { x=3 • lyce Tyzl
For statements 3-4 a) Write a negation of the statement in symbolic form b) Write each statement and negation as a meaningful English sentence. For statements 3-4 a) Write a negation of the statement in symbolic form b) Write each statement and negation as a meaningful English sentence.
15)write the negation of the following statements i) p: for every real number x,x2>x
Write the negation of the following statement: x EQ, there exists r E R so that if x 0 then r = x For every Write the negation of the following statement: x EQ, there exists r E R so that if x 0 then r = x For every
2. Write negations of the following statements: a. Jim is inside and tome is at the Pool. b. Jim is taller or Tom is shorter. c. If this program worked then the data is in order. d. For all integers n, If n is divisible by 15 then n is divisible by 3 and n is divisible by 5. e. There exist an integer n such that n is even and n' +3n-1 is odd. Page 1 of S
18)write the negation of the following statements s: All students study mathematics at the elementary level