1)what is the solution of inequality|x+1/x| <4
2)the solution of 2x + 2|x| ≥ 2√2 is:
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1 Answers
33first try to get rid of the | | sign..
for that take two condition.. (whats inside the ||) > 0 then write (whats inside the ||) else -(whats inside the ||)
then take intersection of inequalities in both individual case and then union of both cases..
Ex 1
|x+1/x|<4
case 1:
for x+1/x>0 or x>0
then x+1/x>4 solve this..
take intersection of both regions
case 2:
for x+1/x<0 or x<0
-(x+1/x)<4
solve this and take intersection with x<0
take union of results of both cases.
similarly do question2