QuestionChoose the inverse of: If temp is in the '70s, then it's a nice day. Options include:
1. If nice day, then temp is in '70s.
2. If not nice day, then temp isn't in '70s.
3. If temp isn't in '70s, then not a nice day.
4. If temp is in '70s, then not a nice day.
Studdy Solution
STEP 1
Assumptions1. The original statement is "If the temperature is in the '70s, then it's a nice day." . We are looking for the inverse of this statement.
STEP 2
The inverse of a statement "If, then Q" is "If not, then not Q".
STEP 3
Identify the components of the original statement. Here, is "the temperature is in the '70s" and Q is "it's a nice day".
STEP 4
Formulate the inverse of the statement by negating both and Q. This gives us "If not, then not Q", or in the context of the original statement, "If the temperature is not in the '70s, then it's not a nice day".
STEP 5
Compare the formulated inverse statement with the provided options.
The inverse of the original statement is "If the temperature isn't in the '70s, then it's not a nice day."
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