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  4. If r is a real number such that |r| < 1 and if a=5(1-r), then

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Q. If $r$ is a real number such that $ |r| < 1 $ and if $ a=5(1-r), $ then

KEAMKEAM 2007Linear Inequalities

Solution:

$ \because $ $ |r| < 1 $
$ \Rightarrow $ $ -1 < r < 1 $
Also, $ a=5(1-r) $
$ \Rightarrow $ $ 0 < a < 10 $
$ \left( \begin{align} & \because at\,r=-1,\,a=10 \\ & and\,at\,r=1,\,a=0 \\ \end{align} \right) $