Function Domain/Range Definition - Set Builder to Words (With Union) (Level 1) - Mobius Math Academy

Function Domain/Range Definition - Set Builder to Words (With Union)

Level 1

This math topic focuses on practicing function domain and range. Specifically, it aims at converting set builder notation, including expressions involving unions, into plain language descriptions. The problems deal with identifying domains and ranges of functions represented in inequalities and set builder notation within the context of real and integer numbers. Each problem is structured to test understanding of various inequality conditions such as less than, greater than, and combined interval conditions involving unions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Domain/Range Definition - Set Builder to Words (With Union) Worksheet

Function Domain/Range Definition - Set Builder to Words (With Union)

What domain does this inequality describe?

$A LaTex expression showing \{X \in \mathbb{{Z}} \vert X < 9\text{{ or }}10 < X \le 19\}$

All integers less than or equal to 9 OR greater than 10 and less than 19

All integers less than 9 OR greater than 10 and less than or equal to 19

What range does this inequality describe?

$A LaTex expression showing \{Y \in \mathbb{{Z}} \vert Y < 2\text{{ or }}5 < Y\}$

All integers less than 2 OR greater than 5

All integers less than or equal to 2 OR greater than or equal to 5

What range does this inequality describe?

$A LaTex expression showing \{Y \in \mathbb{{Z}} \vert -2 \le Y < 8\text{{ or }}8 < Y \le 17\}$

All integers less than 8 OR greater than or equal to 8

All integers greater than or equal to -2 and less than 8 OR greater than 8 and less than or equal to 17

What range does this inequality describe?

$A LaTex expression showing \{Y \in \mathbb{{Z}} \vert Y < -2\text{{ or }}-1 \le Y\}$

All integers greater than -5 and less than or equal to -2 OR greater than or equal to -1

All integers less than -2 OR greater than or equal to -1

What range does this inequality describe?

$A LaTex expression showing \{Y \in \mathbb{{R}} \vert -5 < Y < 9\text{{ or }}9 < Y\}$

All real numbers greater than -5 and less than or equal to 9 OR greater than 9

All real numbers greater than -5 and less than 9 OR greater than 9

What range does this inequality describe?

$A LaTex expression showing \{Y \in \mathbb{{R}} \vert 4 < Y < 9\text{{ or }}9 < Y\}$

All real numbers greater than 4 and less than 9 OR greater than or equal to 9

All real numbers greater than 4 and less than 9 OR greater than 9

What range does this inequality describe?

$A LaTex expression showing \{Y \in \mathbb{{Z}} \vert -9 < Y < 9\text{{ or }}12 \le Y \le 16\}$

All integers greater than -9 and less than 9 OR greater than or equal to 12 and less than or equal to 16

All integers greater than -9 and less than 9 OR greater than or equal to 12

What range does this inequality describe?

$A LaTex expression showing \{Y \in \mathbb{{R}} \vert Y \le 8\text{{ or }}11 < Y\}$

All real numbers less than or equal to 8 OR greater than 11

All real numbers less than 8 OR greater than or equal to 11