which of the following statements is incorrect

Checking the options  (a) LHS =xsgn⁡x=x×(+1)=x  if x>0x×0=0 if x=0x×(−1)=−x if x<0 =|x|= RHS Therefore, statement is correct. b  LHS =|x|sgn⁡x=(+x)×(+1)=x if x>00×0=0 if x=0(−x)×(−1)=x if x<0Therefore, statement is correct.  (c) LHS=(x(sgn⁡x))×sgn⁡x=|x|sgn⁡x=x=RHSTherefore, statement is correct.  (d)  LHS =(|x|sgn⁡x)(sgn⁡x)2=x(sgn⁡x)2=|x|×(sgn⁡x)=x ≠RHSTherefore, statement is incorrect.