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Suppose That a and B Are Integers a4(mod7), and b6(mod7). Find the integer c with 0c6a \equiv 4 ( \bmod 7 ) , \text { and } b \equiv 6 ( \bmod 7 ) . \text { Find the integer } c \text { with } 0 \leq c \leq 6

question 72

Short Answer

suppose that a and b are integers, a4(mod7), and b6(mod7). Find the integer c with 0c6a \equiv 4 ( \bmod 7 ) , \text { and } b \equiv 6 ( \bmod 7 ) . \text { Find the integer } c \text { with } 0 \leq c \leq 6 such that
- c5b(mod7)c \equiv 5 b ( \bmod 7 )


Definitions:

Self-discrepancy Theory

Higgins’s theory about the consequences of making actual – ideal and actual – ‘ought’ self-comparisons that reveal self-discrepancies.

Festinger

Leon Festinger was a psychologist known for the theory of cognitive dissonance, which describes the discomfort felt when holding conflicting thoughts or beliefs.

Self-regulation

The process by which individuals control their own thoughts, emotions, and behaviors to pursue long-term goals.

Self-discrepancy

A psychological theory detailing the discrepancy between an individual's actual self, ideal self, and ought self.

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