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JEE Previous Year Question

$The negation of the statement "For all real numbers x and y, x + y = y + x^{’ ’} is$

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.

A $for some real numbers x and y, x + y = y + x$
B $for some real numbers x and y, x + y \neq = y + x$
C $for some real numbers x and y, x - y = y - x$
D $for all real numbers x and y, x + y \neq = y + x$

Correct answer: B

Solution

(b): The negation of the given statement is "For some real numbers x and y, x + y \neq = y + x ".

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