# How do you determine whether (2,2) is a solution to y < -2x + 1?

Apr 30, 2018

We plug in the x and y values to find that $2 < - 3$, which is false

#### Explanation:

When looking at a set of coordinates (x,y), to find out if those coordinates are the solution to a given equation is simple. All we have to do is plug them in.

So in the set of coordinates (2,2), x=2 and y=2. Now we take those numbers and plug them in for x and y in our equation.

So $y < - 2 x + 1$ becomes $\left(2\right) < - 2 \left(2\right) + 1$

Simplifying, we find $\left(2\right) < - 2 \left(2\right) + 1 = 2 < - 4 + 1 = 2 < - 3$

$2 < - 3$ means that 2 is smaller then -3. Now 2 is clearly not smaller then -3, so we now know that (2,2) is not a solution to our equation.