A Horseradish
Thursday 23rd April 2015 12:28pm [Edited]
8,475 posts
Quote: swerytd @ 23rd April 2015, 1:07 PM BST
It goes before in both cases. So, 'less than 6' is '<6' and 'more than 6' is '>6'. Think of it in terms of saying 'the thing is' before either of them (which you probably are doing) so that bit of the equation is already there in your text (most likely).
That does look right, yes, and it is neat. To have it as 6< would be "what is 6 less than?" which means the same thing as "what is more than 6?" but 6< probably looks better in a construction.
Quote: Hercules Grytpype Thynne @ 23rd April 2015, 1:16 PM BST
Well deduced Horse! But that is not the question - it is part of a more complicated one...............
Ummm, so my Maths teacher friend has it wrong ( 6<x<8 ) when you are looking for a number between two other numbers? Or would he be correct because to put it as <6x<8 would not make sense?
In the first case there, 6 is less than x so x is definitely 7. In the second, so far as it makes sense, any number that goes before <6 must be less than 6. So the main point surely is how you define and indeed describe "less than" symbolically depends on what "less than" is being used in relation to.
I think you have a concept here that if you stick an x or a number against 6> or 6<, it then relates to something - which is correct : it relates to whatever it is stuck against, eg 6<x, 6<7 - but that if you don't do that at that start and just say "less than 6", ie >6, it doesn't relate to anything much at all.
It's standing alone in that thinking. In mid air. As if it is some sort of entity of itself.
But it does relate to something. In actuality, it relates to all the numbers lower than 6.
The reason why you are not grasping that fully is that without the x or a number preceding it - and being in the form of a question which someone else has to answer - it appears to you that what it relates to at the start is so invisible that the phrase "less than six" or >6 is absent of full context.
Look at this way.
I say "bat and ball" or "ball and bat"? What is the better phrase? You say it's "bat and ball". Fine. So then I say but is it "bat and?" or "ball and?"? You reply it depends on the context. If the answer is "ball", it's "bat and?" If it's "chain", it's "ball and". And I say "oh no, I'm asking how the question must be asked. It's "bat and?" or "ball and?". There is a definitive way". No, sorry pal, but there just isn't.