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:

Afterpotential

Afterpotential represents the change in membrane potential that follows an action potential in nerve cells, affecting the cell's responsiveness to subsequent stimuli.

Threshold

The point or level at which a stimulus is of sufficient intensity to begin to produce an effect.

Concentration Differences

Variations in the amount of a particular substance per defined space, leading to a gradient that can drive diffusion processes.

Higher Concentration

A condition where the quantity of a particular substance in a mixture or solution is greater than in other parts or compared to another mixture.