Question

G = {x : x ∈ N, 5 < x < 12}
Write in roster form

Answer 1

Answer:

G={6, 7, 8, 9, 10, 11}

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Answer 2

Answer:

The roaster form is $G=\{ 6,7,8,9,10,11\}$.

Step-by-step explanation:

Roaster form: The elements are listed inside the curly brackets and separated by the symbol comma, which is termed roaster form.

Consider the given set as follows:

$G=\{x:x\ \epsilon\ N,\ 5 < x < 12\}$

Step 1 of 2

According to the question,

$x\ \epsilon \ N$

Thus, the set of natural numbers is,

$N=\{1,\ 2,\ 3,\ .\ .\ .\}$

Step 2 of 2

All those natural numbers that satisfy the condition $5 < x < 12$ are,

i) The number $6$, i.e.,

$5 < 6 < 12$

ii) The number $7$, i.e.,

$5 < 7 < 12$

iii) The number $8$, i.e.,

$5 < 7 < 12$

iv) The number $9$, i.e.,

$5 < 9 < 12$

v) The number $10$, i.e.,

$5 < 10 < 12$

vi) The number $11$, i.e.,

$5 < 11 < 12$

Therefore, the roster form of the set $G$ is,

$G=\{ 6,7,8,9,10,11\}$.

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