Math

QuestionIdentify the converse of "If it is summer, then it is warm outside": A. If warm, then summer; B. If not warm, then not summer; C. If not warm, then summer; D. If warm, then not summer.

Studdy Solution

STEP 1

Assumptions1. The original statement is "If it is summer, then it is warm outside." . The converse of a statement changes the direction of the implication. If the original statement is "If, then Q," the converse is "If Q, then."

STEP 2

We identify the components of the original statement. Here, "it is summer" is, and "it is warm outside" is Q.

STEP 3

We form the converse of the statement by swapping and Q. The converse of the statement "If, then Q" is "If Q, then."

STEP 4

Substitute and Q with their respective phrases to get the converse of the original statement.
Converse="If it is warm outside, then it is summer."\text{Converse} = \text{"If it is warm outside, then it is summer."}

STEP 5

Compare the converse statement with the options given. The correct answer is the one that matches with the converse statement.
The correct answer is A. "If it is warm outside, then it is summer."

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