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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


Solution

(i) The negation of the statement

For every x ϵ N,x+3<10

is

There exists x ϵ N such that x+310

(ii) The negation of the statement

There exists x ϵ N,x+3=10

is 

For every x ϵ N,x+310


Mathematics
RD Sharma
Standard XI

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