Question

write the roster of a set [ x/x=2k-1 and k€w, k<10]​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO DETERMINE

The roster form of the set

$\sf{ \{ \: x: x = 2k - 1 \: \: and \: \: k\in \:W \:, \: k < 10 \} }$

CALCULATION

$\sf{ Let \: \: S \: = \{ \: x: x = 2k - 1 \: \: and \: \: k\in \:W \:, \: k < 10 \} }$

Here W is the set of whole numbers

W = { 0,1,2,3,4,5,6,7,8,9,........}

Since it is given that

k < 10

So k = 0,1,2,3,4,5,6,7,8,9

For k = 0 we have x = - 1

For k = 1 we have x = 1

For k = 2 we have x = 3

For k = 3 we have x = 5

For k = 4 we have x = 7

For k = 5 we have x = 9

For k = 6 we have x = 11

For k = 7 we have x = 13

For k = 8 we have x = 15

For k = 9 we have x = 17

$\sf{Hence \: \: S = \{ - 1, 1,3,5,7,9,11,13,15,17 \: \}}$

Therefore the given set is roster form is

$\sf{ \{ - 1, 1,3,5,7,9,11,13,15,17 \: \}}$

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LEARN MORE FROM BRAINLY

The set P = {x | x ∈Z , –1< x < 1} is a

(a) Singleton set

(b) Power set

(c) Null set

(d) Subset

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Answer 2

Answer:

write answer

Step-by-step explanation:

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