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30 If \( x<-y+10 \), which of the following statements is not true? \( y \) Review La \( y \) is always an integer \( y>-5 \) is always positive

Ask by Burgess Pierce. in the United States
Mar 14,2025

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The statement that is not true is: \( y \) is always an integer.

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The inequality \( x < -y + 10 \) can be rearranged to express \( y \) in terms of \( x \), giving us \( y < -x + 10 \). This means that \( y \) can take on a variety of values depending on the value of \( x \). Therefore, it’s not guaranteed that \( y \) is always an integer, as \( x \) can be any real number leading to various possible values of \( y \). Additionally, since there is no restriction on \( x \), it's feasible for \( y \) to be less than \(-5\) or even negative since, depending on the value of \( x \), \( y < -x + 10 \) may not exceed \(-5\). Thus, the statement that \( y > -5 \) is not always true!

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