Question

The verbal statement of the same meaning, of the statement 'If the grass is green then it rains in July' is

• A. The grass is not green and it does not rain in July.
• B. The grass is not green or it rains in July.
• C. If the grass is not green, then it does not rain in July.
• D. The grass is not green if and only if it rains in July.

Hint:

In logical statements, "If \( p \), then \( q \)" is equivalent to \( \neg p \lor q \).

Answer 1

The Correct Option is B

Step 1: Understand the logical form.
The original statement is of the form "If \( p \), then \( q \)" which translates to \( p \rightarrow q \). The logical equivalent of \( p \rightarrow q \) is \( \neg p \lor q \), which in words is: "The grass is not green or it rains in July."
Step 2: Conclusion.
The correct verbal statement is (B) The grass is not green or it rains in July.