Prove or Disprove: for All Integers $$a , b , c , \text { if } a \mid b c , \text { then } a \mid b \text { or } a \mid c .$$

question 56

True/False

Prove or disprove: For all integers $$a , b , c , \text { if } a \mid b c , \text { then } a \mid b \text { or } a \mid c .$$

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Definitions:

Smart

Possessing intelligence and quickness of understanding, often used to describe someone who is intellectually able or clever.

Mindfully

Refers to the act of being present and fully engaged with one’s surroundings and activities without being overly reactive or overwhelmed by what’s going on around us.

Single-trait Approach

A psychological methodology focusing on how one trait in a person’s personality influences their behavior across different situations and contexts.

Many-trait Approach

A method in personality psychology that examines the relationship between a wide array of traits and a specific behavior or outcome, aiming to understand personality as a complex interplay of many traits.