High School

Let p= "Three is greater than five" and q= "Eleven is a prime number." What is the following compound expression in words? q→p It is not the case that both three is greater than five and eleven is a prime number. Three is not greater than five and eleven is a prime number. Three is greater than five and eleven is not a prime number. It is not the case that either three is greater than five or eleven is a prime number. Three is not greater than five or eleven is a prime number. Three is greater than five or eleven is not a prime number. Three is not greater than five and eleven is not a prime number. Three is not greater than five or eleven is not a prime number. If threle is greater than five then eleven is a prime number. If eleven is a prime number then three is greater than five. If three is not greater than five then eleven is a prime number. If eleven is not a prime number then three is greater than five. Three is greater than five if-and-only-if eleven is a prime number. Three is not greater than five if-and-only-if eleven is not a prime number.

Answer :

The compound expression q→p can be translated into words as "If eleven is a prime number, then three is greater than five."

In the given compound expression, q represents the statement "Eleven is a prime number," and p represents the statement "Three is greater than five." The arrow symbol (→) represents the logical implication or conditional operator.

The expression q→p is a conditional statement, also known as an implication. It states that the truth of q (Eleven is a prime number) implies the truth of p (Three is greater than five). In other words, it suggests that if the statement "Eleven is a prime number" is true, then the statement "Three is greater than five" must also be true.

Therefore, the compound expression q→p can be interpreted as "If eleven is a prime number, then three is greater than five."

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