Consider the statement: 'Every even number in the list is greater than 10.' Which of the following is its negation?
Answer and explanation
Correct answer: D. Some even number in the list is at most 10
- Step 1: The statement is ''. Its negation is ''.
- Step 2: So some even number in the list is at most .
Answer
Some even number in the list is at most 10.
Why not the others: 'Every even number is at most 10' is stronger than needed; the two statements about odd numbers say nothing about even numbers; 'every odd number in the list is at most 10' is about odd numbers, which the original statement does not mention.
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