Question

यदि $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$,
$C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; तो निम्नलिखित को ज्ञात कीजिए : (i) A – B (ii) A – C (iii) A – D (iv) B – A (v) C – A (vi) D – A (vii) B – C (viii) B – D (ix) C – B (x) D – B (xi) C – D (xii) D – C

Answer 1

A - B = {3,6,9,12,15,21}

A - C = {3,9,15,18,21}

A - D = {3,6,9,12,18,21}

B - A = {4,8,16,20}

C - A = {2,4,8,10,14,16}

D - A = {3,6,9,12,18,21}

B - C = {20}

C - B = {2, 6,10, 14}

D - B = {5,10,15}

C - D = {2,4,6,8,12,14,16}

D - C = {5, 15, 20}

Answer 2

Answer:

Step-by-step explanation:

(i)  A - B  =  { 3,6,9,12,15,18,21 } - { 4,8,12,16,20 }

              = { 3,6,9,15,18,21 }

(ii)  A - C  =  { 3,6,9,12,15,18,21 } - { 2,4,6,8,10,12,14,16 }

               =   { 3,9,15,18,21 }

(iii) A - D  =  { 3,6,9,12,15,18,21 } - { 5,10,15,20 }

               = { 3,6,9,12,18,21 }

(iv) B - A   = { 4,8,12,16,20 } -   { 3,6,9,12,15,18,21 }

                = { 4,8,16,20 }

(v) C - A    =  { 2,4,6,8,10,12,14,16 } -  { 3,6,9,12,15,18,21 }

                =   { 2,4,8,10,14,16 }

(vi) D - A   =  { 5,10,15,20 } - { 3,6,9,12,15,18,21 }

                =   { 5,10,20 }

(vii) B - C  =  { 4,8,12,16,20 } - { 2,4,6,8,10,12,14,16 }

                =  { 20 }

(viii) B - D  = { 4,8,12,16,20 } - { 5,10,15,20 }

                 = { 4,8,12,16 }

(ix)  C - B   =  { 2,4,6,8,10,12,14,16 } -  { 4,8,12,16,20 }

                 = { 2,6,10,14 }

(x)   D - B   =   { 5,10,15,20 } -  { 4,8,12,16,20 }

                 =   { 5,10,15 }

(xi)  C - D   =   { 2,4,6,8,10,12,14,16 } -  { 5,10,15,20 }

                  =   { 2,4,6,8,12,14,16 }

(xii) D - C    =   { 5,10,15,20 }  -  { 2,4,6,8,10,12,14,16 }

                  =   { 5,15,20 }