Question

Given the statement "If there is a lightning storm, then we won’t go swimming,” which is the contrapositive?

If there is not a lightning storm, then we will go swimming.
If there is not a lightning storm, then we won’t go swimming.
If we go swimming, then there will not be a lightning storm.
If we don’t go swimming, then there will be a lightning storm.

Answer 1

The contrapositive of the statement 'If there is a lightning storm, then we won’t go swimming' is 'If we go swimming, then there is not a lightning storm.'

Step-by-step explanation:

The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion of the original statement and then reversing them. The contrapositive always has the same truth value as the original statement.

The original statement here is "If there is a lightning storm, then we won’t go swimming." To form the contrapositive, one would negate both the hypothesis and the conclusion and then reverse them, resulting in "If we go swimming, then there is not a lightning storm."

Answer 2

conditional statement = if p, then q
contrapositive = if ~q, then ~p

therefore, the answer is

if we go swimming, then there won’t be a lightning storm

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