This math topic helps practice translating set builder notation into verbal descriptions of domain and range, specifically without union operations. The problems focus on deciphering inequalities describing domains and ranges of functions in terms of integers (symbolized by \(\mathbb{Z}\)) and real numbers (symbolized by \(\mathbb{R}\)). Each question presents an inequality and asks to select the correct verbal description among multiple choices. The topic aids in understanding how to determine domains and ranges from mathematical notation to plain English, beneficial for foundational learning in function characteristics within algebra.

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Function Domain/Range Definition - Set Builder to Words (Without Union) Worksheet

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Function Domain/Range Definition - Set Builder to Words (Without Union)
1
What domain does this inequality describe?
A LaTex expression showing \{X \in \mathbb{{Z}} \vert X < -5\}
a
All integers less than -5
b
All integers
2
What domain does this inequality describe?
A LaTex expression showing \{X \in \mathbb{{R}} \vert 1 \le X\}
a
All real numbers greater than 1
b
All real numbers greater than or equal to 1
3
What domain does this inequality describe?
A LaTex expression showing \{X \in \mathbb{{R}} \vert X \le 3\}
a
All real numbers less than or equal to 3
b
All real numbers less than 3
4
What range does this inequality describe?
A LaTex expression showing \{Y \in \mathbb{{R}} \vert 0 \le Y\}
a
All real numbers greater than 0
b
All real numbers greater than or equal to 0
5
What domain does this inequality describe?
A LaTex expression showing \{X \in \mathbb{{Z}} \vert X \le 8\}
a
All integers less than or equal to 8
b
All integers less than 8
6
What domain does this inequality describe?
A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
a
All real numbers
b
All real numbers greater than or equal to -4
7
What range does this inequality describe?
A LaTex expression showing \{Y \in \mathbb{{Z}} \vert 1 < Y\}
a
All integers greater than 1
b
All integers greater than or equal to 1
8
What range does this inequality describe?
A LaTex expression showing \{Y \in \mathbb{{Z}} \vert \}
a
All integers
b
All integers less than or equal to 3