range of elements

**alexandrabel90** · May 2nd 2010, 08:15 AM

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?

**Pulock2009** · May 2nd 2010, 08:56 AM

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).

**HallsofIvy** · May 2nd 2010, 08:57 AM

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.

**Pulock2009** · May 2nd 2010, 09:04 AM

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???

**Plato** · May 2nd 2010, 09:09 AM

Originally Posted by Pulock2009

one interval is undoubtedly (sqrt(2),2).which is the other and how???

$\left( { - 2, - \sqrt 2 } \right)$

**alexandrabel90** · May 2nd 2010, 09:09 AM

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

Thread: range of elements