MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
akash kashyp Grade: Upto college level
        

(|x+2|-x)/x<2 solve eq

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

dear akash


(|x+2|-x)/x<2


case 1 x<-2


so (-(x+2)-x)/x < 2


 (-2x -2)/x <2


 or (x+1)/x  > 1


     1+ 1/x  >1


  or  1/x >0 


  since x<-2 so no solution is possible


case -2 ≤x <0


so now



((x+2)-x)/x<2


 2/x <2


  1/x<1



   since lest side is negative so it is valid for all value   -2 ≤x <0


case 3   x≥0


so


((x+2)-x)/x<2


  2/x <2


 x>1


  so solution is possible for x>1


so final solution     -2 ≤x <0    and  x>1


Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.


 All the best.
 
Regards,
Askiitians Experts
Badiuddin

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,000 off
USE CODE: CART20
Get extra R 320 off
USE CODE: CART20

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details