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

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 $-10 \leq x \leq-2\}$
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Solution

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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: $\{x: x \text{ is an integer and } -9 \leq x \leq -3\}$.

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