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Standard XII

Mathematics

Subset

Given, A = ...

Question

Given, $A = {$ Triangles $}, B = {$ Isosceles triangles $},$
$C = {$ Equilateral triangles $} .$ State whether the following statement are correct or incorrect. Give reasons.
$C$ $\subset$ $A$

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Solution

$A = {$ Triangle $}$
$B = {$ Isosceles triangle $}$
$C = {$ Equilateral $△$ $}$
Yes $C$ $\subset$ $A$ [ $∵$ Equilateral $△ s$ come under $△$ Family. Again there are some triangles belonging to the triangle family which are not Equilateral so the subset is proper.]

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Given, A={ Triangles },B={ Isosceles triangles },C={Equilateral triangles}. State whether the following statement are correct or incorrect. Give reasons.C ⊂ A

A={Triangle}B={Isosceles triangle}C={Equilateral △}Yes C ⊂ A [∵ Equilateral △s come under △ Family. Again there are some triangles belonging to the triangle family which are not Equilateral so the subset is proper.]

Given, $A = {$ Triangles $}, B = {$ Isosceles triangles $},$
$C = {$ Equilateral triangles $} .$ State whether the following statement are correct or incorrect. Give reasons.
$C$ $\subset$ $A$

$A = {$ Triangle $}$
$B = {$ Isosceles triangle $}$
$C = {$ Equilateral $△$ $}$
Yes $C$ $\subset$ $A$ [ $∵$ Equilateral $△ s$ come under $△$ Family. Again there are some triangles belonging to the triangle family which are not Equilateral so the subset is proper.]