Q. 15.0( 1 Vote )

Write the negation of each of the following statements:

(i) For every x N, x + 3 > 10

(ii) There exists x N, x + 3 = 10

Answer :

(i) Negation of statement p is "not p." The negation of p is symbolized by "~p." The truth value of ~p is the opposite of the truth value of p.

The negation of the statement


For every x N, x + 3 > 10


is


There exist x N, such that x + 3 ≥ 10.


(ii) Negation of statement p is "not p." The negation of p is symbolized by "~p." The truth value of ~p is the opposite of the truth value of p.


The negation of the statement


For every x N, x + 3 = 10


is


There exist x N, such that x + 3 ≠ 10.


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