undefined means you can not do the operation (5/0 is undefined)
no solution refers to an equation not having an answer.
a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement.
As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.
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zero is horizontal, undefined is vertical
whats the difference between solving an inequality by algebriac vs graphical
No slope is undefined i.e. a vertical line slope of 0 is a horizontal line... i believe...
0 = 12 is neither. It is a false statement.
There are different geometries but in the most intuitive one, Euclidean Geometry, the undefined "objects" are point, line and plane while incidence, congruence and being between are undefined concepts.