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
Chilukuri Sai Kartik Grade: 12
        

What is the soln of 2x+2|x|>2(2)1/2

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear chilukuri


case 1 x>=0


2x+2|x|>2(2)1/2


2x+2x>2(2)1/2


2x>(2)1/2


x>=1/2


case 2   x<0


2x+2|x|>2(2)1/2


or 2x+2-x>2(2)1/2


or 22x+1>22x(2)1/2


simplify


 (2x -21/2 -1)((2x -21/2 +1)>0


first bracket is always negative so second bracket should also be negative


(2x -21/2 +1)<=0


2x <=21/2 -1


xln2 <=ln(21/2 -1)


x<=ln2(21/2 -1)


so final solution


x<=ln2(21/2 -1)         and x>=1/2





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

Ask Experts

Have any Question? Ask Experts

Post Question

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