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= ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

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

Open in App

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) $B_{6} = {. . . . . . . . . . . - 6, - 3, 0, 3, 6.........} = {x : x = 3 n, n \in Z} A n s .$

Suggest Corrections

Similar questions

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}

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

B_{6}

= { ....., -6, -3, 0, 3, 6, ..... }

The set - builder form of the set ${\frac{4}{5}, \frac{5}{6}, \frac{6}{7}, \frac{7}{8}, \frac{8}{9}, \frac{9}{10}}$ is

Q. Six books – B1, B2, B3, B4, B5 and B6 – are kept in a stack – not necessarily in the same order. B2 is not at the top. B4 is immediately above B6 and B3 is immediately above B5. B1 is below B5, and B4 is above B5. Which book is at the top?

छः पुतक - B1, B2, B3, B4, B5 और B6 एक क्रमबद्ध ढेर में लगी हैं - अनिवार्य नहीं है कि दिये गये क्रम में हों। B2 सबसे ऊपर नहीं है। B4, B6 के ठीक ऊपर है और B3, B5 के ठीक ऊपर है। B1, B5 के नीचे है और B4, B5 के ऊपर है। कौन-सी पुस्तक सबसे ऊपर है?

Join BYJU'S Learning Program

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.........}