Which of the following is the inverse of the statement "If I do my homework, then it will snow"?A.If I do not do my homework, then it will snow.B.If it snows, then I will do my homework.C.If I do not do my homework, then it will not snow.D.If it does not snow, then I will not do my homework.SUBMITarrow_backPREVIOUS
Question
Which of the following is the inverse of the statement "If I do my homework, then it will snow"?A.If I do not do my homework, then it will snow.B.If it snows, then I will do my homework.C.If I do not do my homework, then it will not snow.D.If it does not snow, then I will not do my homework.SUBMITarrow_backPREVIOUS
Solution
The inverse of the statement "If I do my homework, then it will snow" is D. "If it does not snow, then I will not do my homework."
Here's why:
The inverse of a conditional statement "If P, then Q" is "If not P, then not Q".
In this case, P is "I do my homework" and Q is "it will snow". So, not P is "I do not do my homework" and not Q is "it does not snow".
Therefore, the inverse of the statement "If I do my homework, then it will snow" is "If it does not snow, then I will not do my homework."
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