Prove that :
(i) `A sube B,B sube C rArrA sube C`
(ii) `A sube phi, hArr A = phi`

Given, A = {Triangles}, B = {Isosceles triangles}, C = {Equilateral triangles}. State whether the following are true or false. Give reasons. (i) A sub B , (ii) B sube A , (iii) C sube B , (iv) B sub A , (v) C sub A , (vi) C sube B sube A

Prove that |b+c a a b c+a b c c a+b |

Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D = {Rhombuses}. State, giving reasons, whether the following are true or false. (i) B sub C , (ii) D sub B , (iii) C sube B sube A , (iv) D sub A , (v) B supe C , (iv) A supe B supe C

Let M={letters of the word REAL} and N={letters of the word LARE}. Write sets M and N in roster form and then state whether: (i) M sube N is true. (ii) N sube M is true. (iii) M=C is true.

If A sube B and C sube D , then prove that: A xx C sube B xx D

Let A, B, C and D be four non-empty sets. The contrapositive statement of ''If A sube B and B sube D , then A sube C '' is :

If A sube B and B subX , the the correct option is :

ABCD is a quadrilateral in which and /_D A B\ =/_C B A (see Fig. 7.17). Prove that (i) DeltaA B D~=DeltaB A C (ii) B D\ =\ A C (iii) /_A B D\ =/_B A C

Draw a Venn-diagram to show the relationship between sets A and B , such that A sube B . Now shade the region representing : (i) A cup B , (ii) B' cap A , (iii) A cap B , (iv) (A cup B)'

If A and B are two sets such that A sube B , then find (i) A cup B (ii) A cap B .