Relations and Functions

Relations and Functions

Question

If 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 }; find (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

(i) A - B = {3, 6, 9, 15, 18, 21]

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

(iii) A-D = {3,6,9, 12, 18,21}

(iv) B-A = {4, 8, 16,20}

(v) C-A = {2,4,8, 10, 14, 16}

(vi) D-A = {5, 10,20}

(vii) B - C = {20}

(viii) B-D = {4, 8, 12, 16}

(ix) C-B = {2,6, 10, 14}

(x) D-B = {5, 10, 15}

(xi) C-D = {2,4,6,8, 12, 14, 16}

(xii) D-C = {5, 15,20}

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