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What is the negation of: For every real number $x ,x \gt x+2$?

$\begin {array} {1 1} (A)\;For\: every\: real \: number\: x,x < x+2. \\ (B)\;For \: every\: real\: number\: x,\: x \: is \: not \: >\: x+2. \\ (C)\;There \: exists\: real \: number \: x\: such\: that\: x\: is\: not\: greater\: than \: x+2 \\ (D)\;There \: exists \: no\: real\: number\: x\: such\: that\: x \: is \: greater\: than \: x+2. \end {array}$

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Ans : (C)
There exists real number $x$ such that $x$ is not greater than $x+2$
answered Jan 20, 2014 by thanvigandhi_1

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