Question

The inverse of the statement “if you grew in Alaska, then you have seen snow.”
(A) “if you did not grow up in Alaska, then you have not seen snow”
(B) “if you grow up in Alaska, then you have not seen snow”
(C) “if you did not grow up in Alaska, then you have seen snow”
(A) None of these.

Answer 1

Hint: Our given statement is “if you grew in Alaska, then you have seen snow.”. This statement has two parts. One is “if you grew in Alaska” and the second is “then you have seen snow.”. Get the negative of the first part and then get the negative of the second part. Now, combine these both negatives and conclude the statement.

Complete step-by-step answer:
According to the question, a statement is given which is “if you grew in Alaska, then you have seen snow.”
We have to get the inverse of this statement.
We know that the inverse of a statement is that statement which has the negative of the given statement but the actual meaning of the statement must not change.
So, we have to get the negative of the statement, “if you grew in Alaska, then you have seen snow.”
We can see that the given statement has two parts. One is “if you grew in Alaska” and the second is “then you have seen snow.”.
Let us find the negative of the first part of the given statement.
Here, our first part of the given statement is “if you grew in Alaska”. Now making it negative we get, “if you did not grow up” ……………………..(1)
Now, our second part of the given statement is “then you have seen snow.”. Now making it negative we get, “then you have seen snow.” ……..…………..(2)
Now, combining the negative statements of equation (1) and equation (2), we get
“if you did not grow up in Alaska, then you have not seen snow”.
Hence, the correct option (A).

Note: Since inverse is the negative of the statement so, one can go any with any of the options from the options (B), (C), and (D). But this is wrong because the statements in these options have different meaning from the meaning of the given statement. The inverse of a statement is the negative of the statement where the actual meaning of the statement must not change.