# How do you translate word phrases "there must be at least a hundred" into algebraic expressions?

May 6, 2016

$n \ge 100$

#### Explanation:

This phrase seems like it is talking about a count of items rather than some kind of continuous measurement. So choose a variable name like $n$, which would typically be used to stand for an integer quantity, rather than $x$ or $z$, etc.

If you wanted to be explicit about $n$ being an integer, you could write $n \in \mathbb{Z}$, which means $n$ is in the set of all integers ($\mathbb{Z}$).

The compound symbol $\ge$ means that the expression to the left is greater than or equal to the expression on the right.

In our case $n \ge 100$ means $n$ is greater than or equal to $100$.

In other words $n$ is at least one hundred.