Show that -a is not the inverse of a in ...

Show that -a is not the inverse of `a in N` for the addition operation `+` on `N` and `1/a` not the inverse of `a in N` for multiplication operation on `N` , for `a ne 1` .

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Show that -a is the inverse of a for the addition operation '+' on R and 1/a is the inverse of a ne0 for the multiplication operation x on R.

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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook Illustrations for Practice Work

Show that the VV: RxxR rarr R given by (a, b) rarr max {a, b} and th...
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Show that + : Rxx R rarr R and xx: R xxR rarr R are commutative binar...
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Show that **: RxxR rarr R defined by a^(**) b = a + 2b is not commuta...
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Show that addition and multiplication are associative binary operation...
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Show that ""^** : R xxR rarr R given by a^** b rarr a + 2b is not ass...
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Show that zero is the identity for addition on R and 1 is the identity...
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Show that -a is the inverse of a for the addition operation '+' on R...
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Show that -a is not the inverse of a in N for the addition operation...
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If R1 and R2 are equivalence relations in a set A, show that R(1) cap...
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Let R be a relation on the set A of ordered pairs of positive integers...
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Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9). Let R1 be a relation in X given ...
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Let f: X rarrY be a function. Define a relation R in X given by R = {...
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Determine which of the following binary operations on the set R are as...
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Determine which of the following binary operations on the set R are as...
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Find the number of all one-one functions from set A = {1, 2, 3} to its...
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Let A = {1, 2, 3} Then show that the number of relations containing (1...
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Show that the number of equivalence relation in the set {1, 2, 3} cont...
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Show that the number of binary operations on {1, 2} having 1 as identi...
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Consider the identity function I(N) : N rarr N defined as I(N) (x) = ...
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Consider a function f : [0,(pi)/2]rarrR given by f(x) = sin x and g :...
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