11. Write negations for the followings statements: a. y real numbers x, x2 0 b.

Question

11. Write negations for the followings statements: a. y real numbers x, x2 0 b. an integer a such that 2a2-a-0 c. For all rational numbers a and b, a +b is rational d. There exists a real number x such that x4 - 2. 12. Write contrapositives for each of the following universal conditionals a. V integers a, if a is even then a2 is even. b. y real numbers x, if x 2 then x' > 8. c. For all integers n, if n is prime, then n-2 or n is odd. 13. W rite negations for each of the universal conditionals from Problem 12

Explanation / Answer

12.

A). If a = 2 then a^2 = 4

This will be true for all the integers

B). Let x = 4 then x^3 = 64 and 64 is greater than 8.

C). If n is prime then we know that only even prime no. Exist will be prime number.

Except 2 all prime no. Will be odd numbers.

Because prime no. Did not get divided by any number.

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