Simultaneous inequations
Two inequalities, containing the same unknowns, are called equivalent, if they are valid at the same values of the unknowns. The same definition is used for the equivalence of two systems of simultaneous inequalities. Solving of inequalities is a process of trans..
Relation properties with examples
Summary of Relation properties - (i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc(i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc (iii) R is symmetric if aRb implies bRa. A relation which is reflexive, transitive, and symmetric is called an equ..
Summary of Relation properties - (i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc(i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc (iii) R is symmetric if aRb implies bRa. A relation which is reflexive, transitive, and symmetric is called an equ..
Note:
(1) '+' & '.' are commutative and associative in the sets, N, I, Q, Q | , R and C. i.e, a + b = b + a and a.b = b.a a + (b + c) = (a + b) + c..
(1) '+' & '.' are commutative and associative in the sets, N, I, Q, Q | , R and C. i.e, a + b = b + a and a.b = b.a a + (b + c) = (a + b) + c..Note:
The graph of x = a is a line parallel to y-axis at x=a. The graph of y=b is a line parallel to x-axis at y = ..
Note:
Identity function is denoted by I A..
Note 1:
We say that f(x) is continuous if f(x) is continuous at every point in its domai..
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