Questions: Set-builder form: y y is an integer and y ≥ -2 Roster form:

Transcript text: Set-builder form: $\{y \mid y$ is an integer and $y \geq-2\}$ Roster form: $\square$

Solution

Solution Steps

To convert the set from set-builder form to roster form, we need to list all the integers that satisfy the condition $ y \geq -2 $. Since there is no upper limit specified, we will list a few integers starting from $-2$ and going upwards.

Step 1: Understand the Set-Builder Notation

The set-builder notation $\{y \mid y \text{ is an integer and } y \geq -2\}$ describes a set of integers starting from $-2$ and increasing without an upper limit.

Step 2: Convert to Roster Form

To convert this to roster form, we list the integers starting from $-2$ and continuing upwards. Since there is no upper limit specified, we list a few initial integers to represent the set.

Step 3: List the Integers

The integers that satisfy the condition $y \geq -2$ are $-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, \ldots$.