Write the following sets in roster (Tabular) form:

(iii) $A_{3} = {x : x ϵ z, - 3 \leq x < 4}$

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Solution

Step : Express the given set in roster (Tabular) form:

We know that in roster or tabular method, the elements of the set are written inside a pair of curly braces and are separated by commas.

Given:

$A_{3} = {x : x ϵ Z, - 3 \leq x < 4}$

$\Rightarrow - 3 \leq x < 4 (x ϵ z)$

$\Rightarrow x = - 3, - 2, - 1, 0, 1, 2, 3$

Hence, the set $A_{3} = {x : x ϵ Z, - 3 \leq x < 4}$

in roster (Tabular) form is

$A_{3} = {- 3, - 2, - 1, 0, 1, 2, 3} .$

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