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Mathematics 9 Online
OpenStudy (anonymous):

Hi, does anyone know what the range could be for an equation such as y= 0x + 3? Thanks!

OpenStudy (inkyvoyd):

The range is the possible set of values for the function y. So, what values for y could you possibly get with any value for x?

OpenStudy (anonymous):

Well you'd only get 3

OpenStudy (inkyvoyd):

So, the range is 3 then :)

OpenStudy (anonymous):

so then would I write {y E R | y = 3 } or something else? Or do I just write {y E R } ?

OpenStudy (anonymous):

The range is indeed 3.

OpenStudy (inkyvoyd):

well, the first statement is redundant, and the second statement is incorrect

OpenStudy (inkyvoyd):

you'd want {y: y=3}

OpenStudy (anonymous):

oh, so i shouldn't include the "member of the reals" part?

OpenStudy (inkyvoyd):

3 is a member of the reals, but saying that y is a member of the reals AND y is 3 is redundant, and can be simplified to y=3

OpenStudy (inkyvoyd):

it's for the same reason you wouldn't want y∈R AND y∈Q AND y∈Z AND y∈N AND y∈{3}, because y is simply 3

OpenStudy (inkyvoyd):

wait, that last part is bad

OpenStudy (inkyvoyd):

I mean to say, {y: y∈R AND y∈Q AND y∈Z AND y∈N AND y∈{3}}

OpenStudy (anonymous):

Oh okay. So simply {y=3} would be enough and would make sense as well, right?

OpenStudy (inkyvoyd):

I'd write {y: y=3}, or {y | y=3}

OpenStudy (anonymous):

Oh okay then, thanks!

OpenStudy (inkyvoyd):

it's probably simpler to say y={3} actually. Sorry for changing what I said so many times >.<

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