➩ mod (x) - 1 ÷ mod (x) - 2 is greater than or equal to 0.

{Please explain the whole sum in detail}
Sir, these types of sums are not in our ncert booklet. But I found the same in RD sharma. So, tell me that whether it is right to concentrate in this type of sums or not.

Dear Student,
Please find below the solution to the asked query:

x-1x-20This is only possible iffCase I: x-10 and x-2>0x1 and x>2x-1 or x1 and x<-2 or x>2                When xa, then x-a or xa; When x>a, then x<-a or x>ax<-2 or x>2 or x=±1                                   "and" implies the common solution of x-1>0 and x-2>0; and x-1=0 implies x=±1x-,-22,±1Case II: x-10 or x-2<0x1 and x<2-1x1 and -2<x<2                                When xa, then -ax-a; When x<a, then -a<x<-a-1x1                                                             "and" implies the common solution of x-10 and x-2<0x-1,1Hence, x-,-2-1,12,Note: These type of questions are very important regarding other topics and JEE or any other competitive exams. of higher clases.So, i suggest you to practice these type of questions whether given or not given in NCERT.

Hope this information will clear your doubts about the topic.

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