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(15) Suppose a and b are real numbers. with additive inverses cand of respectively Express, the additive inverse of ath in Terms of C and I and justify your answer.

(15) Suppose a and b are real numbers. with additive inverses cand of respectively Express, the additive inverse of ath in Terms of C and I and justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Topic: Uniqueness of Additive Inverses** ### Problem 1 Suppose \( a \) is a real number. Suppose \( b \) and \( c \) are additive inverses of \( a \). Show that \( b = c \). (Do not use the notation \(-a\) since that notation assumes the additive inverse of \( a \) is unique, and this statement proves that the additive inverse of \( a \) is unique.) ### Problem 2 Suppose \( a \) and \( b \) are real numbers with additive inverses \( c \) and \( d \) respectively. Express the additive inverse of \( a + b \) in terms of \( c \) and \( d \) and justify your answer.
Transcribed Image Text:**Topic: Uniqueness of Additive Inverses** ### Problem 1 Suppose \( a \) is a real number. Suppose \( b \) and \( c \) are additive inverses of \( a \). Show that \( b = c \). (Do not use the notation \(-a\) since that notation assumes the additive inverse of \( a \) is unique, and this statement proves that the additive inverse of \( a \) is unique.) ### Problem 2 Suppose \( a \) and \( b \) are real numbers with additive inverses \( c \) and \( d \) respectively. Express the additive inverse of \( a + b \) in terms of \( c \) and \( d \) and justify your answer.
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