VeritasKarishma wrote:
Kinshook wrote:
How many integer values of x satisfy the equation |x-3|+|x-20|<17?
A. 2
B. 4
C. 0
D. 1
E. 3
|x - 3| + |x - 20| signifies sum of 'distance from 3' and 'distance from 20'. Note that distance between 3 and 20 is 17. So whichever point we take on the number line, the sum of the distance will be at least 17. So the sum will never be less than 17.
Answer (C)
Check:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... s-part-ii/https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2016/1 ... -part-iii/I generally go for the convetional approach wherein I start taking the modulus out after finding critical points and its really time
consuming.
I tried reading this a few times.However,I am not be able to understand 100% .
Please help me with my understanding.
|x - 3| + |x - 20| signifies sum of 'distance from 3' and 'distance from 20'. >> I interpret x is some point which is at a distance 3 and 20 from number number line based on the blog link you sent.
Next you wrote ,
Note that distance between 3 and 20 is 17...
>>Does this mean x lies somewhere between 3 and 20 inclusive.
So whichever point we take on the number line, the sum of the distance will be at least 17 >> say we take x=5 then |x-3|=2 and |x-20| = 15 so sum is 17 ??
is this what we are trying to interpret ?
I am sorry.I just want to be crystal clear with this new concept.
I will re-read your blogs multiple times so to understand and grasp the concept better.
Please help .
Thanks