Question

list all of the elements of set a if a = x is an integer and -6 ≤ x <0 a. {-6, -5, -4, -3, -2, -1, 0} b. {-6, -5, -4, -3, -2, -1} c. {-5, -4, -3, -2, -1}

Answer 1

`A=\{x|x\in\mathbb{Z}\ and\ -6\leq x \ \textless \ 0\}=\{-6;-5;-4;-3;-2;-1\}`

Answer 2

Option b - {-6, -5,-4,-3,-2,-1}

Explanation:

Given : Set
`a = {x|x\text{ is an integer and } -6\leq x <0}`

To find : List all of the elements of set a ?

Solution :

In Set
`a = {x|x\text{ is an integer and } -6\leq x <0}`

`-6\leq x` there is an equal sign so -6 includes in the set.

`x<0` there is no equal sign so 0 is not include in the set.

From -6 to 0 the number lies in between are -5,-4,-3,-2,-1.

So, The elements of set
`a = {x|x\text{ is an integer and } -6\leq x <0}` are {-6, -5,-4,-3,-2,-1}

Therefore, Option b is correct.