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:

Variable

An element, feature, or factor that is likely to vary or change; it is a concept used in mathematical functions and statistical analysis.

Consumers

Individuals or groups who purchase goods and services for personal use.

Instruments

Tools or devices used for scientific measurement, assessment, or to perform a specific task or activity within various fields, including music, finance, and research.

Measure Values

Measure Values refers to the process or methodologies applied to quantify beliefs, attitudes, and values of individuals or groups, often in social science research.