KCET · Maths · Sets and Relations
The negation of the statement "For all real numbers \(x\) and \(y, x+y=y+x^{\prime \prime}\) is
- A For all real numbers \(x\) and \(y, x+y \neq y+x\)
- B For some real numbers \(x\) and \(y, x+y=y+x\)
- C For some real numbers \(x\) and \(y, x+y \neq y+x\)
- D For some real numbers \(x\) and \(y, x-y=y-x\)
Answer & Solution
Correct Answer
(C) For some real numbers \(x\) and \(y, x+y \neq y+x\)
Step-by-step Solution
Detailed explanation
The negation of the statement "For all real \(x\) and \(y, x+y=y+x^{\prime \prime}\) is For some real number \(x\) and \(y, x+y \neq y+x\)
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