8.|[1!,2!,3!],[2!,3!,4!],[3!,4!,5!]|=?

Let U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4}, B=[2,4,6,8], C=[3,4,5,6]. Find: ((A')')'

Without expanding prove that: |[12, 2, 4, -5, 1],[-8, 1, -5, 2, -1],[6, 4, a ,-3, 2],[-10, 2, 1 ,3 ,4],[-2, 4, 6 ,8, -5]|=|[12, -4, -8, 10, -2],[4, 1, -5, 2, -1],[-3, 4, a, -3, 2],[5, 2, 1, 3, 4],[1, 4, 6, 8, -5]| .

If A=[[1, 2, 3], [3, 4, 5], [4, 6, 8]] , then

A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows : {:(2.6,3.0,3.7,3.2,2.2,4.1,3.5,4.5,3.5,2.3,3.2),(3.4,3.8,3.2,4.6,3.7,2.5,4.4,3.4,3.3,2.9,3.0),(4.3,2.8,3.5,3.2,3.9,3.2,3.2,3.1,3.7,3.4,4.6),(3.8,3.2,2.6,3.5,4.2,2.9,3.6,,,,):} Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting form the intervals 2-2.5

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range: (i) {(2,1), (3,1),(4,2)} (ii) {(2,2),(2,4),(3,3),(4,4)} (iii) {(2,1),(5,1),(8,1),(11,2),(14,2),(17,2)} (iv) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (v){(2,1),(4,2),(6,3),(8,4),(10,5)} (vi) {(1,2),(2,3),(3,4),(3,5),(3,7),(4,8)}

Let U={1,2,3,4,5,6,7,8,9},A={1,2,3,4},B={2,4,6,8} and C={3,4,5,6} : Find: (B-C)'

Let U={1,2,3,4,5,6,7,8,9},A={1,2,3,4},B={2,4,6,8} and C={3,4,5,6} : Find: (AuuC)'

If U={1,2,3,4,5,6,8},A={2,4,6},B={2,3,5} find : A'