The roster form of the set x - x -2 r -3- where r - I and -2- r - 3-A- 1-3-5-7-9B- 0-1-3-5-7- 1-3-5-7D- 0-1-3-5-7-9

The correct option is A {1, 3, 5, 7, 9} Given 2 lt;r ≤ 3 and r ϵ I So, r = 1, 0, 1, 2, 3. Also x=2r+3 Substituting r = 1, 0, 1, 2, 3 we get, x=2( 1)+3=1 x ...

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Standard VIII

Mathematics

Roster Form

The roster fo...

Question

The roster form of the set ${x : x = 2 r + 3, where r ϵ I and - 2 < r \leq 3}$ .

${1, 3, 5, 7, 9}$

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${0, 1, 3, 5, 7, 9}$

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${1, 3, 5, 7}$

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${0, 1, 3, 5, 7}$

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Solution

The correct option is A
${1, 3, 5, 7, 9}$

Given $- 2 < r \leq 3$ and $r ϵ I$

So, r = -1, 0, 1, 2, 3. Also $x = 2 r + 3$

Substituting r = -1, 0, 1, 2, 3 we get,

$x = 2 (- 1) + 3 = 1$

$x = 2 (0) + 3 = 3$

$x = 2 (1) + 3 = 5$

$x = 2 (2) + 3 = 7$

$x = 2 (3) + 3 = 9$

$∴$ The set is {1, 3, 5, 7, 9}.

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The roster form of the set {x:x=2r+3, where r ϵ I and −2<r≤3}.

The correct option is A {1,3,5,7,9} Given −2<r≤3 and rϵI So, r = -1, 0, 1, 2, 3. Also x=2r+3 Substituting r = -1, 0, 1, 2, 3 we get, x=2(−1)+3=1 x=2(0)+3=3 x=2(1)+3=5 x=2(2)+3=7 x=2(3)+3=9 ∴ The set is {1, 3, 5, 7, 9}.

The roster form of the set ${x : x = 2 r + 3, where r ϵ I and - 2 < r \leq 3}$ .