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  4. If x satisfies the in equations 2x-7<11 , 3x+4<-5, then x lies in the interval

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Q. If $ x $ satisfies the in equations $ 2x-7<11 $, $ 3x+4<-5, $ then $ x $ lies in the interval

KEAMKEAM 2009Linear Inequalities

Solution:

Given, $ 2x-7<11,\text{ }3x+4<-5 $
$ \Rightarrow $ $ x<9,x<-3 $
$ \Rightarrow $ $ x<-3 $
$ \therefore $ $ x $ lies in the interval
$ (-\infty ,-3) $ .