Question

Write the set of integers greater than -5 and less than 2 in roster form and set-builder notation.

Answer 1

The answer of the given equation is Roster Form:
`\(\{-4, -3, -2, -1, 0, 1\}\)`

Set-Builder Notation:
`\(\{x \mid -5 < x < 2\}\)`

Step-by-step explanation:

In roster form, the set of integers greater than -5 and less than 2 is represented as
`\(\{-4, -3, -2, -1, 0, 1\}\).` This includes all integers in the specified range.

In set-builder notation, the set is described as
`\(\{x \mid -5 < x < 2\}\),` where
`\(x\)` represents the integers in the given range. The vertical bar
`(\(|\))` is read as "such that," and the inequality indicates the condition for the elements of the set.

In summary, the set of integers greater than -5 and less than 2 is
`\(\{-4, -3, -2, -1, 0, 1\}\)` in roster form and
`\(\{x \mid -5 < x < 2\}\)` in set-builder notation.