View S3 as a subset of S5, in the obvious way. For ; 2 S5, define if 1 2 S3. (a) Show that is an equivalence relation on S5. (b) Find the equivalence class of .4; 5/. (c) Find the equivalence class of .1; 2; 3; 4; 5/. (d) Determine the total number of equivalence classes.

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