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{1,2,3,4,1,2,3,4,1,2,3,4,...}

of 3.00M

aqueous nickel(II) chloride NiCl2

working solution. He'll do this by pouring out some 3.43M

aqueous nickel(II) chloride stock solution into a graduated cylinder and diluting it with distilled water.

Calculate the volume in mL

of the nickel(II) chloride stock solution that the chemist should pour out.

limit of f of x as x approaches negative 1 where f of x equals 4 minus x when x is less than negative 1, 5 when x equals negative 1, and x plus 6 when x is greater than negative 1

Now, define f : X → C by the rule f(x) = [x] for all x ∈ X.

Prove that if x ∈ X, then there is one and only one equivalence class which contains x.

Suppose X = {1, 2, 3, 4, 5} and that R is an equivalence relation for which 1 R 3, 2 R 4 but 1 R̸ 2,1 R̸ 5,and 2 R̸ 5.

Write down the equivalence classes of R and draw a diagram to represent the function f.