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there are several statements in the table below. for each, determine wh…

Question

there are several statements in the table below. for each, determine whether it is a negation of this statement.
i am not in physics class.

statementnegation?
i am in physics class.
i am not in history class.
i am in algebra class.
it is not the case that i am in algebra class.

Explanation:

Brief Explanations
  • The original statement is "I am not in physics class". The negation of a statement "not \(p\)" is \(p\). So the negation should be "I am in physics class".
  • For the statement "I am not in history class", it is about history class, not related to the negation of the original physics - class statement.
  • For the statement "I am in algebra class", it is about algebra class, not related to the negation of the original physics - class statement.
  • For the statement "It is not the case that I am in algebra class", it is about algebra class, not related to the negation of the original physics - class statement.

Answer:

StatementNegation? YesNegation? No
I am not in history class.Yes
I am in algebra class.Yes
It is not the case that I am in algebra class.Yes