Paper 4: Fundamentals of Business Mathematics & Statistic
2.4 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Power set : The family of all sub-set of a given set A is kno ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.5 (i) Let A = {1, 2, 3, 4, 5}, B = {2, 3, 4, 6, 7}, C ={ 2, 4, 7, 8, 9}. ...
2.6 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Two sets A and B are said to be disjoint if their intersection ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.7 The union of any set A and its complement A ́ is the universal set, i ...
2.8 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra (i) φ has only one subset { φ } (ii) φ ≠ { φ } but φ ∈ { φ }; ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.9 (iii) Null, as there exists no positive number less than zero. Example ...
2.10 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Given : A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, C = {3}, D = {0, ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.11 B = ( x : x ∈ N and x is divisible by 2) C = (x : ∈ N and x is divisi ...
2.12 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra In a finite set, if operations are made, some new subsets wil ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.13 or, 43 = 15 + 20 + 20 – 3 – 6 – 5 + n (A ∪ B ∪ C) or, n (A ∩ B ∩ C) = ...
2.14 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra subjects, how many students all together were in the class, w ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.15 2.2 INEQUATIONS An inequality is a sort of equation. With an equation ...
2.16 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Solution : 4(x + 1) < 2x + 3 4x +4 < 2x + 3 4x + 4 – 2x ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.17 The process here is fairly similar to the process for single inequali ...
2.18 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra 2.3 VARIATION DIRECT VARIATION : If two variable quantities A ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.19 (vii) If A ∝ B and C ∝ D, then AC ∝ BD and = A B C D (viii) If A ∝ BC ...
2.20 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Solving (ii), (iii), k ,=^12 x = 500. From (i) we get T = 500 ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.21 From (i), speed (s) = 24 2 n.− As n increases speed diministes, For s ...
2.22 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra The expenses of a boarding house are partly fixed and partly ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.23 2. 4 LOGARITHM Definition of Logarithm : Let us consider the equation ...
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