Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Management
  • Solution of the inequality <img alt="\:\left(x\:+\:1\right)\left(x\:-\:2\right)\left(x+7\right)\:<\:0" src="http://entrancecorner.oncodecogs.com/gif.latex?%5C%3A%5Cleft%28x%5C%3A&p

Solution of the inequality \:\left(x\:+\:1\right)\left(x\:-\:2\right)\left(x+7\right)\:<\:0 is

Option: 1

x\in(-7,-1)\cup(2,\infty)


Option: 2

x\in(-7,1)\cup(2,\infty)


Option: 3

x\in(-\infty,-7)\cup(-1,2)


Option: 4

x\in(-\infty,-7)\cup(1,2)


Answers (1)

best_answer

\\we \;have\;\:\left(x\:+\:1\right)\left(x\:-\:2\right)\left(x+7\right)\:<\:0\\on\;number\;line\;mark\;\;x=-1,2,-7

When x > 2, all factors,  (x + 1), (x - 2) and (x + 7) is positive

Now put positive and negative sign as shown in figure 

Hence answer  is x\in(-\infty,-7)\cup(-1,2)  

 

Posted by

Riya

View full answer

Similar Questions

Trending Articles/News

anam-khan

IIM Mumbai, DoPT launch PG Diploma in Public Policy Management; admission closes on December 20
anam-khan

IIM CAT 2025 LIVE: MBA entrance test tomorrow in three shifts; download admit card at iimcat.ac.in
anam-khan

IIM CAT 2025 Tomorrow: Slot timings, reporting rules; exam-day dos and don’ts

Latest Question