algebra vs analysis

I remember reading somewhere the following characterization of the difference between Algebra and Analysis. Unfortunately I can not recall the source: "Algebra is the study of equalities. Analysis is the study of inequalities."

Nice and clean, but not a very accurate picture of the reality...

Why? Because there is a dependency relationship that is being overlooked here. Although you can do algebra without invoking any analytical techniques, the converse is not possible. Why? Because you need to have some structures in place before you can conduct any analysis, and building mathematical structures necessitates employment of equalities.

Algebra tends to be more conceptual than analysis since it places more emphasis on structures.