The logically equivalent statement to "If it is raining, then the ground is wet" is "If the ground is not wet, then it is not raining." So, the correct answer is C.

Here's why:

The original statement is a conditional statement (if P, then Q). The logically equivalent form of a conditional statement is its contrapositive (if not Q, then not P).

In this case, P is "it is raining" and Q is "the ground is wet". So, the contrapositive would be "If the ground is not wet, then it is not raining."

The other options (A and B) are not logically equivalent. Option A is the converse of the original statement, and option B is the inverse. Neither the converse nor the inverse are logically equivalent to the original statement.

Question

The logically equivalent statement to "If it is raining, then the ground is wet" is "If the ground is not wet, then it is not raining." So, the correct answer is C.

Here's why:

The original statement is a conditional statement (if P, then Q). The logically equivalent form of a conditional statement is its contrapositive (if not Q, then not P).

In this case, P is "it is raining" and Q is "the ground is wet". So, the contrapositive would be "If the ground is not wet, then it is not raining."

The other options (A and B) are not logically equivalent. Option A is the converse of the original statement, and option B is the inverse. Neither the converse nor the inverse are logically equivalent to the original statement.

Knowee AI · Accepted Answer

The logically equivalent statement to "If it is raining, then the ground is wet" is "If the ground is not wet, then it is not raining." So, the correct answer is C.

Here's why:

The original statement is a conditional statement (if P, then Q). The logically equivalent form of a conditional statement is its contrapositive (if not Q, then not P).

In this case, P is "it is raining" and Q is "the ground is wet". So, the contrapositive would be "If the ground is not wet, then it is not raining."

The other options (A and B) are not logically equivalent. Option A is the converse of the original statement, and option B is the inverse. Neither the converse nor the inverse are logically equivalent to the original statement.

Which of the following statements is logically equivalent to the statement "If it is raining, then the ground is wet"?A. If the ground is wet, then it is raining.B. If it is not raining, then the ground is not wet.C. If the ground is not wet, then it is not raining.D. All of the above

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