This math topic helps learners improve their ability to define the domain and range of functions by translating verbal descriptions into mathematical inequalities. It presents a focused exercise on understanding and representing real number constraints using inequality symbols, specifically without the use of union. There is a strong emphasis on correctly interpreting terms such as "all real numbers less than", "greater than or equal to", and "all real numbers" into proper inequality expressions. This forms part of introductory skills concerning function domain and range representation.

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

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Function Domain/Range Definition - Words to Inequality (Without Union)
1
All real numbers greater than or equal to 2 and less than or equal to 6
What inequality describes this domain?
a A LaTex expression showing 2 < X
b A LaTex expression showing 2 \le X \le 6
2
What inequality describes this domain?
All real numbers greater than 4
a A LaTex expression showing 4 < X
b A LaTex expression showing -\infty < X < \infty
3
What inequality describes this range?
All real numbers less than or equal to 0
a A LaTex expression showing -10 \le Y < 0
b A LaTex expression showing Y \le 0
4
What inequality describes this range?
All real numbers greater than or equal to 4
a A LaTex expression showing 4 \le Y
b A LaTex expression showing 4 \le Y < 9
5
What inequality describes this domain?
All real numbers greater than -1 and less than or equal to 5
a A LaTex expression showing -1 \le X
b A LaTex expression showing -1 < X \le 5
6
What inequality describes this range?
All real numbers less than 3
a A LaTex expression showing -7 \le Y \le 3
b A LaTex expression showing Y < 3
7
What inequality describes this range?
All real numbers greater than or equal to -5
a A LaTex expression showing -5 \le Y
b A LaTex expression showing -\infty < Y < \infty
8
What inequality describes this domain?
All real numbers greater than -2 and less than 1
a A LaTex expression showing -2 < X < 1
b A LaTex expression showing -2 \le X < 1