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  4. If 3 le 3t-18 le 18, then which one of the following is true?

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Q. If $ 3\le 3t-18\le 18, $ then which one of the following is true?

KEAMKEAM 2010Linear Inequalities

Solution:

We have $ 3\le 3t-18\le 18 $
$ \Rightarrow $ $ 3+18\le 3t\le 18+18 $
$ \Rightarrow $ $ 21\le 3t\le 36 $
$ \Rightarrow $ $ 7\le t\le 12 $
$ \Rightarrow $ $ 8\le t+1\le 13 $