Question

Write the following set in roster form and in set-builder notation.

M is the set of integers that are greater than -3 and less than or equal to 1.
M={ }

Answer 1

Roster Form of M = {-2, -1 , 0, 1}

Set Builder Form of M = {x : x is an integer and -3 < x ≤ 1 }

Explanation:

Roster Form: A set is said to be in roster form if each element of the set is written distinctly in the set with commas in between them.

Set Builder Form: A set is said to be in set builder form if all the set elements are represented by describing their properties.

Now, here M is the set of integers that are greater than -3 and less than or equal to 1.

So, by definition of the set forms,

Roster Form of M = {-2, -1 , 0, 1}

Set Builder Form of M = {x : x is an integer and -3 < x ≤ 1 }