Solve Inequalities by Examining the Graph

Find the solution for x^{2}-3x+1<0 by graphing.

y=x^{2}-3x+1\ and\ y=0

 

x y
-1 5
0 1
1 -1
2 -1
3 1

 

(-1)^{2}-3(-1)+1

1+3+1=5

(0)^{2}-3(0)+1=1

 

 

 

 

 

0.4 < x < 2.6