Q10 of 86 Page 17

If X= {a, b, c, d} and Y = {f, b, d, g}, find:

(i) X – Y


(ii) Y – X


(iii) X ∩ Y

(i) It is given in the question that,


X = {a, b, c, d}


And, Y = {f, b, d, g}


∴ X – Y = {a, b, c, d} - {f, b, d, g}


= {a, d}


(ii) It is given in the question that,


Y = {f, b, d, g}


And, X = {a, b, c, d}


∴ Y – X = {f, b, d, g} - {a, b, c, d}


= {f, g}


(iii) It is given in the question that,


X = {a, b, c, d}


And, Y = {f, b, d, g}


∴


= {b, d}


More from this chapter

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8

Which of the following pairs of sets are disjoint?

(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6}


(ii) {a, e, i, o, u} and {c, d, e, f}


(iii) {x: x is an even integer} and {x: x is an odd integer}

 9

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

 11

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

 12

State whether each of the following statement is true or false. Justify your answer.

(i) {2, 3, 4, 5} and {3, 6} are disjoint sets.


(ii) {a, e, i, o, u} and {a, b, c, d}are disjoint sets.


(iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.


(iv) {2, 6, 10} and {3, 7, 11} are disjoint sets.