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How do you know if an absolute value question is an " and " or an " or " problem?

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1 Answer

And is necessary , and or is sufficient condition.
 
     Like if:
        
          l X l   < 7  
 
     - 7 < X < 7                   -7---------+7                   
 
    
 Solution of X in addition to be less than +7 has to be greater than -7 at the same time.(and)
    However:
 
      l X l > 7
 
        X > 7 or X < -7             --------- -7           +7 -----------  
 
        Here either X =-8   or  X = +8 are sufficient to be the solution.        
 

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