DEFINITION We will say that Ac C is connected if the only subsets of A that are open and closed are A and ø. The set D C ACC is called a component of A if it is the maximal connected subset contained in A, that is, Dis connected and if E C A is connected such that DCECA then D = E. Show whether the sets are connected or not. 1. {z € C | 1 < |z| < 2} 2. D(0, 1) U D(2i, }),

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.