Are the Following Two Statements Logically Equivalent? Justify Your Answer

question 12

Essay

Are the following two statements logically equivalent? Justify your answer.
(a) A real number is less than 1 only if its reciprocal is greater than 1.
(b) Having a reciprocal greater than 1 is a sufficient condition for a real number to be less than 1.

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Definitions:

Anxiety Disorder

A group of mental health disorders characterized by significant feelings of anxiety and fear, affecting daily functioning.

Diagnosed

The identification of the nature of an illness or other problem by examination of the symptoms.

Othering

A process of viewing or treating a person or group of people as fundamentally different from oneself, often leading to marginalization.

Dominant Group

Refers to the social group in a society that holds the most power, wealth, or privilege, often setting norms and values.