GCEMathematicsSets and Logic2021

Which of the following statements is the negation of 'All traders in Lagos pay tax'?

ANo trader in Lagos pays tax.
BSome traders in Lagos do not pay tax.CORRECT
CSome traders in Lagos pay tax.
DAll traders in Lagos do not pay tax.
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Why the answer is B, and why the others tempt you.
The negation of a universal statement 'All A are B' is the existential statement 'Some A are not B.' Therefore, the negation of 'All traders in Lagos pay tax' is 'Some traders in Lagos do not pay tax.'
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