Q11 of 86 Page 17

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

It is given in the question that,

R = Set of real numbers


And, Q = Set of rational numbers


We know that, set of real numbers contain rational numbers and irrational numbers


∴ R – Q = Set of real numbers - Set of rational numbers


= Set of irrational numbers


More from this chapter

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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

 10

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

(i) X – Y


(ii) Y – X


(iii) X ∩ Y

 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.

 1

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (i) A’ (ii) B’ (iii) (A ∪ C)’ (iv) (A ∪ B)’ (v) (A’)’ (vi) (B – C)’