The number of solutions of |log|x||+|x| = 2 is equal to: A)0 B)6 C)5 D)4

Make graph for the expression|log|x|| = 2 - |x|....Plot log x then make its symmetry about y axis and then the portion of graph where y is negative, take its mod so that the whole graph of of |log|x|| lies in the first and second quadrant... Plot y=|x| then take negative of the graph of y=|x| so that y= -|x| lies in the third and fourth quadrant. Then take it 2 units upward on y axis to get the graph of RHS...Hence you will see that these graph intersect at 4 pointsAns::::DExpressions in which are difficult to aolve for x always plot the graph...