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

1 Answer
Johnyjo
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<-2x+1# becomes #(2)<-2(2)+1#

Simplifying, we find #(2)<-2(2)+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.

Related questions
See all questions in Linear Inequalities in Two Variables
Impact of this question
2014 views around the world
You can reuse this answer
Creative Commons License