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Class 11 Maths Chapter Sets - NCERT Exercise 1.4 (Q 6 - Q 8)

NCERT Solutions

**Q6: If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find**
** (i) A ∩ B **
** (ii) B ∩ C **
** (iii) A ∩ C ∩ D**
** (iv) A ∩ C **
** (v) B ∩ D **
** (vi) A ∩ (B ∪ C)**
** (vii) A ∩ D **
** (viii) A ∩ (B ∪ D) **
** (ix) ( A ∩ B ) ∩ ( B ∪ C )**
** (x) ( A ∪ D) ∩ ( B ∪ C)**
Answer:

(i) A ∩ B = {7,9,11}

(ii) B ∩ C = {11, 13}

(iii) A ∩ C ∩ D = {A ∩ C} ∩ D = {11} ∩ {15, 17} = φ

(iv) A ∩ C = {11}

(v) B ∩ D = {7, 9, 11, 13} ∩ {15, 17} = φ

(vi) A ∩ (B ∪ C)

= {3, 5, 7, 9, 11} ∩ ({7, 9, 11, 13} ∪ {11, 13, 15})

= {3, 5, 7, 9, 11} ∩ {7, 9, 11, 13, 15}

= {7, 9, 11}

(vii) A ∩ D = φ

(viii) A ∩ (B ∪ D)

= {3, 5, 7, 9, 11} ∩ ({7, 9, 11, 13} ∪ {15, 17})

= {3, 5, 7, 9, 11} ∩ {7, 9, 11, 13, 15, 17}

= {7, 9, 11}