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Question

Find the range of values of x which satisfies 223  x+13 <313,  x R.


  1.  3x<3 
  2.  3<x3 
  3.  3x3 
  4.  3<x<3 


Solution

The correct option is A  3x<3 

Given: 223  x+13 <313

 83  x+13 <103

 83  x+13  and  x+13 <103

 8313  x  and  x <10313

 813  x  and  x <1013

 3  x  and  x <3

Rule: If both the sides of an inequation are multiplied or divided by the same negative number, then the sign of the inequality will get reversed.
On multiplying the left hand side inequation by -1, we get;

 x  3  and  x <3

Range of values is  3x<3.

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