Questions: QUESTION 3.3
Subsets - Roster Form
Choose the correct Set-builder form for the following set written in Roster form:
-9,-8,-7,-6,-5,-4,-3
Choose one · 4 points
x: x is an integer and -9 ≤ x ≤ -3
x: x is an integer and x ≥ -9
x: x is an integer and x < -2
x: x is an integer and -10 ≤ x ≤ -2
Transcript text: QUESTION 3.3
Subsets - Roster Form
Choose the correct Set-builder form for the following set written in Roster form:
\[
\{-9,-8,-7,-6,-5,-4,-3\}
\]
Choose one $\cdot 4$ points
$\{x: x$ is an integer and $-9 \leq x \leq-3\}$
$\{x: x$ is an integer and $x \geq-9\}$
$\{x: x$ is an integer and $x<-2\}$
$\{x: x$ is an integer and $-10 \leq x \leq-2\}$
Solution
Solution Steps
Step 1: Identify the Smallest and Largest Elements
The smallest element in the given set is -9, and the largest element is -3.
Step 2: Determine the Common Property
All elements in the set are distinct integers. Therefore, the common property is being integers within a specific range.
Step 3: Construct the Set-builder Form
The Set-builder form for the given set is: $\{x: x \text{ is an integer and } -9 \leq x \leq -3\}$.
Final Answer:
The correct Set-builder form for the given set in Roster form is: $\{x: x \text{ is an integer and } -9 \leq x \leq -3\}$.