Write the following sets in roster set-builder Rule Method form-i B1- 6-9-12-15- ii B2- 11-13-17-19- iii B3- 1-3-3-5-5-7-7-9-9-11- ivB4- 8-27-64-125-216- v B5- -5-4-3-2-1- viB6- -6-3-0-3-6-

(i) B_1= { 6,9,12,15,......... } ={ x:x=3n+3; n ∈ N }Ans. (ii) B_2= { 11,13,17,19......... } = { x: x is a prime number between 10 and 20 } (iii) B_3= ...

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Byju's Answer

Standard VIII

Mathematics

Roster Form

Write the fol...

Question

Write the following sets in roster set-builder (Rule Method) form:

(i) $B_{1} = {6, 9, 12, 15, . . . . . . . . .}$

(ii) $B_{2} = {11, 13, 17, 19.........}$

(iii) $B_{3} = {\frac{1}{3}, \frac{3}{5}, \frac{5}{7}, \frac{7}{9}, \frac{9}{11} . . . . . . . . .}$

(iv) $B_{4} = {8, 27, 64, 125, 216.........}$

(v) $B_{5} = {- 5, - 4, - 3, - 2, - 1.........}$

(vi) $B_{6} = {. . . . . . . . . . . - 6, - 3, 0, 3, 6.........}$

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Solution

(i) $B_{1} = {6, 9, 12, 15, . . . . . . . . .} = {x : x = 3 n + 3; n \in N} A n s .$ (ii) $B_{2} = {11, 13, 17, 19.........} = {x : x i s a p r i m e n u m b e r b e t w e e n 10 a n d 20}$ (iii) $B_{3} = {\frac{1}{3}, \frac{3}{5}, \frac{5}{7}, \frac{7}{9}, \frac{9}{11} . . . . . . . . .} = {x : x = \frac{n}{n + 2}, w h e r e n i s a n o d d n a t u r a l n u m b e r}$ (iv) $B_{4} = {8, 27, 64, 125, 216.........} = {x : x = n^{3}; n \in N a n d 2 \leq n \leq 6} A n s .$ (v) $B_{5} = {- 5, - 4, - 3, - 2, - 1.........} = {x : x \in Z, - 5 \leq x \leq - 1}$ Ans. (vi) $B_{6} = {. . . . . . . . . . . - 6, - 3, 0, 3, 6.........} = {x : x = 3 n, n \in Z} A n s .$

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Similar questions

Write the following sets in roster set-builder (Rule Method) form:

(i) $B_{1} = {6, 9, 12, 15, . . . . . . . . .}$

(ii) $B_{2} = {11, 13, 17, 19.........}$

(iii) $B_{3} = {\frac{1}{3}, \frac{3}{5}, \frac{5}{7}, \frac{7}{9}, \frac{9}{11} . . . . . . . . .}$

(iv) $B_{4} = {8, 27, 64, 125, 216.........}$

(v) $B_{5} = {- 5, - 4, - 3, - 2, - 1.........}$

(vi) $B_{6} = {. . . . . . . . . . . - 6, - 3, 0, 3, 6.........}$

Write the following sets in the set-builder form:

(i) (3, 6, 9, 12) (ii) {2, 4, 8, 16, 32}

(iii) {5, 25, 125, 625} (iv) {2, 4, 6 …}

(v) {1, 4, 9 … 100}

Write the following sets in roster set-builder (Rule Method) form:

(i) $B_{1} = {6, 9, 12, 15, . . . . . . . . .}$

(ii) $B_{2} = {11, 13, 17, 19.........}$

(iii) $B_{3} = {\frac{1}{3}, \frac{3}{5}, \frac{5}{7}, \frac{7}{9}, \frac{9}{11} . . . . . . . . .}$

(iv) $B_{4} = {8, 27, 64, 125, 216.........}$

(v) $B_{5} = {- 5, - 4, - 3, - 2, - 1.........}$

(vi) $B_{6} = {. . . . . . . . . . . - 6, - 3, 0, 3, 6.........}$

Q. Write the following sets in set-builder (Rule Method) form :

B_{3}

= {

\frac{1}{3}, \frac{3}{5}, \frac{5}{7}, \frac{9}{11}, . . . . . . . . .

}

Q. Write the following set in set-builder (Rule Method) form :

B_{5}

= {-5, -4, -3, -2, -1}

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Write the following sets in roster set-builder (Rule Method) form: (i) B1={6,9,12,15,.........} (ii) B2={11,13,17,19.........} (iii) B3={13,35,57,79,911.........} (iv)B4={8,27,64,125,216.........} (v) B5={−5,−4,−3,−2,−1.........} (vi)B6={...........−6,−3,0,3,6.........}