This topic focuses on interpreting inequalities in the context of defining the domain and range of functions. The math skills practiced include translating inequalities represented symbolically into verbal descriptions of domains and ranges of functions. Questions involve determining whether inequality descriptions include boundaries (such as "greater than or equal to" vs. "greater than") for real number sets defined by inequalities without unions, such as "3 ≤ Y ≤ 6" and "-2 < X". The emphasis is on understanding and accurately describing open and closed intervals within the real number system.

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

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Function Domain/Range Definition - Inequality to Words (Without Union)
1
What domain does this inequality describe?
A LaTex expression showing -3 < X \le 6
a
All real numbers
b
All real numbers greater than -3 and less than or equal to 6
2
What range does this inequality describe?
A LaTex expression showing -\infty < Y < \infty
a
All real numbers greater than -5
b
All real numbers
3
A LaTex expression showing X < -6
What domain does this inequality describe?
a
All real numbers less than -6
b
All real numbers less than or equal to -6
4
A LaTex expression showing X \le 3
What domain does this inequality describe?
a
All real numbers less than 3
b
All real numbers less than or equal to 3
5
What domain does this inequality describe?
A LaTex expression showing -7 \le X < 5
a
All real numbers
b
All real numbers greater than or equal to -7 and less than 5
6
What domain does this inequality describe?
A LaTex expression showing 0 < X \le 6
a
All real numbers greater than 0 and less than or equal to 6
b
All real numbers greater than 0 and less than 6
7
What range does this inequality describe?
A LaTex expression showing 3 \le Y \le 6
a
All real numbers greater than or equal to 3 and less than or equal to 6
b
All real numbers greater than or equal to 3 and less than 6
8
A LaTex expression showing Y \le 5
What range does this inequality describe?
a
All real numbers less than 5
b
All real numbers less than or equal to 5