Suppose X= {1,2,3,4,5,6,7}. Which of the following are partitions of X? A. X1= {1,2,5}, X2= {0,3}, X3= {-4,6,7} B. X1= {1,2,3,4,5,6,7} C. X1= {1,2,5}, X2= {3}, X3= {6,7}, X4= {4} D. X1= {1,2,5}, X2= {3,4,5}, X3= {2,6,7} E. X1= {1,2,5}, X2= {3}, X3= {6,7} F. X1= {1,2,5}, X2= {3,4}, X3= {6,7} G. X1= {1,2,5}, X2= {3,6}, X3= {6,7}, X4= {4,5}

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.