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Prove or Disprove: for All Integers a,b,c, if ac and bc, then (a+b)ca , b , c \text {, if } a \mid c \text { and } b \mid c \text {, then } ( a + b ) \mid c \text {. }

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Prove or disprove: For all integers a,b,c, if ac and bc, then (a+b)ca , b , c \text {, if } a \mid c \text { and } b \mid c \text {, then } ( a + b ) \mid c \text {. }


Definitions:

Correlation Coefficient

The relationship between two sets of scores. Correlation coefficients range from +1 to -1 and generally are reported in decimals of one-hundredths. A positive correlation shows a tendency for scores to be related in the same direction, while a negative correlation indicates an inverse relationship.

Verbal Reasoning

The ability to understand and reason using concepts framed in words, often assessed through standardized tests.

Problem Solving

The process of identifying solutions to specific issues by employing logical and creative thinking strategies.

Negative Correlation

A relationship between two variables in which one variable increases as the other decreases.

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