Write the negation of each of the following statement -i For every x - N - x -3-10ii There exists x - N- x-3-10

(i) The negation of the statement For every x ϵ N, x + 3 lt; 10 is There exists x ϵ N such that x + 3 ≥ 10 (ii) The negation of the statement There exist ...

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Standard XII

Mathematics

Negation

Write the neg...

Question

Write the negation of each of the following statement :

(i) For every $x ϵ N, x + 3 < 10$

(ii) There exists $x ϵ N, x + 3 = 10$

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Solution

(i) The negation of the statement

For every $x ϵ N, x + 3 < 10$

is

There exists $x ϵ N$ such that $x + 3 \geq 10$

(ii) The negation of the statement

There exists $x ϵ N, x + 3 = 10$

is

For every $x ϵ N, x + 3 \neq 10$

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Write the negation of each of the following statement : (i) For every x ϵ N,x+3<10 (ii) There exists x ϵ N,x+3=10

(i) The negation of the statement For every x ϵ N,x+3<10 is There exists x ϵ N such that x+3≥10 (ii) The negation of the statement There exists x ϵ N,x+3=10 is For every x ϵ N,x+3≠10

Write the negation of each of the following statement :

(i) For every $x ϵ N, x + 3 < 10$

(ii) There exists $x ϵ N, x + 3 = 10$

(i) The negation of the statement

For every $x ϵ N, x + 3 < 10$

is

There exists $x ϵ N$ such that $x + 3 \geq 10$

(ii) The negation of the statement

There exists $x ϵ N, x + 3 = 10$

is

For every $x ϵ N, x + 3 \neq 10$