 # what is this method ??how to plot these curves ??what r the rules to plot these..............what r the advantages of these curves ??these are somewhat like this -where  a,b,c  are the roots of the equ. 12 years ago

Dear mohit,

For solving the wavy curve method first bring the inequality in the simpler form by breakin it into roots...for example
(x-2)(x-3)>0
then plot it's roots on the number line and start from the right hand side. On the rightmost side start from + and the keep on changing the sign after evey root.For example in the above case you'll plot the two roots 2 and three and then start from the region between 3-infinity and label it as + after that label the region between 2 and 3 as - and then again the region between
-infinity to 2 as positive. Now as the inequality is of the form greter than look for the positive regions that is -infinity-2 union 3-infinity. Nothing will be included as the inequality sign is > and not >=. In cse any powers are present on the two roots then in case of even powers ONLY the sign would not change on either side of that root. Moreover if any root is present in the denominator then that root will never be included in your answer.

All the best.