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In-Situ Conservation

Show that the...

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Show that the relation R,defined by set A of all triangles as: R={(T1,T2):T1 is similar to T2} is an equivalence relation

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Are the campaigns for:

SAVE ENVIRONMENT , SAVE NATURAL RESOURCES , SAVE WILDLIFE interrelated??

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Solution

Yes, the three campaigns are inter related. Environment is a very broad term, can it includes wildlife, natural resources and many more. So, the two campaigns on saving Natural Resources and Wildlife can be thought of as subsets of the bigger picture to Save Environment. Though, the two campaigns on wildlife and natural resources aren't related to each other as such.

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Similar questions

Show that the relation R defined in the set A of all triangles as $R = {(T_{1}, T_{2}) : T_{1} i s s i m i l a r t o T_{2}}$ , is equivalence relation. Consider three right angle triangles $T_{1}$ with sides 3, 4, 5, T2 with sides 5, 12, 13 and $T_{3}$ with sides 6, 8, 10. Which triangles among $T_{1}, T_{2}$ and $T_{3}$ are related?

Q. Show that the relation

R

defined in the set

A

of all triangles as

R = {(T_{1}, T_{2}) : T_{1} is similar to T_{2}}

, is equivalence relation. Consider three right angle triangles

T_{1}

3, 4, 5, T_{2}

5, 12, 13

T_{3}

6, 8, 10

. Which triangles among

T_{1}, T_{2}

T_{3}

Q. Show that the relation R defined in the set A of all triangles as R = {( T 1 , T 2 ): T 1 is similar to T 2 }, is equivalence relation. Consider three right angle triangles T 1 with sides 3, 4, 5, T 2 with sides 5, 12, 13 and T 3 with sides 6, 8, 10. Which triangles among T 1 , T 2 and T 3 are related?

T

be the set of all triangles in a plane with

R

T

R = {(T_{1}, T_{2})} : T_{1}

T_{2}

R

is an equivalence relation.

Q. Assertion :Let

T

be the set of all triangle in a plane and

R

be a relation in

T

R = {(T_{1}, T_{2}) : T_{1} = T_{2}}

is an equivalance relation. Reason: Every equivalence relation is reflexive symmetric and transitive.

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