1. ## range of elements

given that -x is an element of the set B where l x^2 - 3l <1. what is the range of values that are in the set B?

2. ## solution

Originally Posted by alexandrabel90
given that -x is an element of the set B where l x^2 - 3l <1. what is the range of values that are in the set B?
|x^2-3|<1
=>-1<x^2-3<1
=>2<x^2<4
=>sqrt(2)<x<2
therefore if x be any element of B the range of values that are in set B is given by (sqrt(2),2).

3. Originally Posted by alexandrabel90
given that -x is an element of the set B where l x^2 - 3l <1. what is the range of values that are in the set B?
$|x^2- 3|< 1$ is the same as $-1< x^2- 3< 1$ and $2< x^2< 4$. That gives B as the union of two separate intervals.

Originally Posted by HallsofIvy
$|x^2- 3|< 1$ is the same as $-1< x^2- 3< 1$ and $2< x^2< 4$. That gives B as the union of two separate intervals.
one interval is undoubtedly (sqrt(2),2).which is the other and how???

5. Originally Posted by Pulock2009
one interval is undoubtedly (sqrt(2),2).which is the other and how???
$\left( { - 2, - \sqrt 2 } \right)$

6. is the other interval from (-2, sq rt 2)