Go Algebraically
Logic
Level
2
What is the negation of the statement, "All of my classmates love icecream."
This is a mathematical reasoning question.
All of my classmates don't love icecream.
There are some classmates who don't love icecream.
All of my classmates love icecream.
There are some classmates who love icecream.
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1 solution
In mathematical reasoning, while negating a statement we have to change all ∀ statements to ∃ statements and then change any one part of the statement. This question can be written as ∀ classmates love icecream. So, the negation of the given statement is ∃ some classmates who dont love icecream.
And this answer is synonymous to the option There are some classmates who dont love icecream which is the correct answer.