Question

Express the set shown below in roster form. ​x

Answer 1

Given:

The set is:

`\{x|x\text{ is a natural number less than }-2\}`

To find:

The raster form of the given set.

Solution:

We know that, natural numbers are all positive integers.

Natural numbers: 1, 2, 3, 4,... .

The given set is:

`\{x|x\text{ is a natural number less than }-2\}`

Here, x is a natural number and it is less than -2, which is not possible.

Since all natural numbers are greater than or equal to 1, therefore the given set has no element.

`\{x|x\text{ is a natural number less than }-2=\phi`

Therefore, the roaster form of the given set is
`\phi` or
`\{\ \}`.