101mba101 wrote:
Hi Bunuel,
I have a very basic doubt here.
On combining the statements 1 & 2, how did you get the range of x as
-1 < x < 1 ? Why can't the range of x be
-7 < x < 7 ?
Bunuel wrote:
Is x > 0 ?
(1) |x+3| < 4
-4 < x + 3 < 4
-7 < x < 1.
Not sufficient.
(2) |x-3| < 4
-4 < x - 3 < 4
-1 < x < 7.
Not sufficient.
(1)+(2) -1 < x < 1. Not sufficient.
Answer: E.
HEllo
First statement concludes that -7 < x < 1. It means 'x' is a number which is greater than -7 but less than 1.
Second statement concludes that -1 < x < 7. This means that 'x' is a number which is greater than -1 but less than 7.
Now, combining the two statements. what is common about x? From first, x should be greater than -7 and from second x should be greater than -1. So if a number is both greater than -7 as well as greater than -1, then it has to be greater than -1 (which is the common part).
Similarly, from first x is less than 1 and from second x is less than 7. So if a number is lesser than 1 as well as lesser than 7, then it must be lesser than 1 (which is the common part).