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).