Determine Whether the Argument in the Problem Below Is Valid

question 42

Short Answer

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning.
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If a² is odd, then a must be odd.
a is even.
Therefore, a² is even.
Assume that if a number is even, then it is not odd.

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Definitions:

Quintile Distribution

Quintile distribution is a method of dividing a population into five equal groups or quintiles, based on variables such as income or wealth, to analyze economic inequality.

Income Receivers

Individuals or entities that earn income through various means such as employment, investments, or ownership of assets.

Gini Ratios

A gauge of how evenly income is distributed across a population, with a scale from 0 indicating absolute equality to 1 showing total inequality.

Income Inequality

A measure of the uneven distribution of income within a population.