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

1 Answer
Jul 26, 2017

Answer:

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]}