abritton
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(x%2)≠0 what does this mean - i dont understand the symbols

this is the whole example - i am trying to teach my self sets :(

Example 2 − The set {1,3,5,7,9} is written as

B={x : 1≤ x <10 and (x%2)≠0} <- Means : x is 1 and less than 10

Respuesta :

LammettHash
% is used in a lot of programming languages as the modulo operator.

[tex]a\%b=c\iff a\equiv c\mod b[/tex]

which is to say, the remainder upon dividing [tex]a[/tex] by [tex]b[/tex] is [tex]c[/tex].

When you divide any integer by 2, you can get either a remainder of 0 or 1. So in your example, [tex]x\%2\neq0[/tex] refers to all numbers [tex]x[/tex] between 1 and 9 that are not perfectly divisible by 2. In other words, [tex]x\%2\neq0[/tex] refers to those [tex]x[/tex] that are odd. (This assumes [tex]B[/tex] is a subset of the integers.)

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