# How do you solve 2x+5y > 10?

Jul 26, 2017

There are $2$ variables in one inequality.
There are infinitely many solutions.

#### Explanation:

This is an inequality with $2$ variables.

There is therefore not only one unique solution, but infinitely many solutions.

You can choose any value for $x$ and there will be a corresponding value for $y$

This is best shown as a graph - any point in the shaded area is a possible solution.

Note that that line itself is not part of the solution.

graph{2x +5y >10 [-6.58, 13.42, -2.08, 7.92]}