Which of the following is the negation of *''*, where is a real number?
Answer and explanation
Correct answer: B. or
- Step 1: '' means and . Its negation is 'not , or not ' (De Morgan).
- Step 2: That is ' or '.
Answer
or .
Why not the others: The negation uses 'or', not 'and', so ' and ' and '' fail (no number is both and ); ' or ' leaves out the boundary values and , which also make the original false; ' or ' is true for every real number.
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