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#1 2007-07-07 04:20:00
- Identity
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- Registered: 2007-04-18
- Posts: 934
x^2 < 2
If I have to solve x^2 < 2, I get
or What now?Offline
#2 2007-07-07 04:27:11
- JaneFairfax
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- Registered: 2007-02-23
- Posts: 6,868
Re: x^2 < 2
Its
Thats the solution. When you solve for x in an inequality generally, the solution is a range of values rather than a single value.
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#3 2007-07-07 04:28:28
- mathsyperson
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- Registered: 2005-06-22
- Posts: 4,900
Re: x^2 < 2
In this case, you can also neaten it up a bit by saying
.Why did the vector cross the road?
It wanted to be normal.
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#4 2007-07-07 04:35:51
- Identity
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- Registered: 2007-04-18
- Posts: 934
Re: x^2 < 2
Thanks... so the sign is flipped for the negative root so that x remains within the boundaries
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#5 2007-07-07 23:25:57
- mathsyperson
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- Registered: 2005-06-22
- Posts: 4,900
Re: x^2 < 2
Yup. That's a consequence of the fact that when you multiply or divide an inequality by a negative number, you have to flip the sign as well.
Why did the vector cross the road?
It wanted to be normal.
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