Linear-Quadraric Systems of Equations: Comparisons to zero or between parabolas

The following functions are graphed below:

$f(x)=x^2-6x+8$

$g(x)=4x-17$

For which values of x is
f(x)<0 true?

2 < x < 4

Look at the graph below of the following functions:

$f(x)=x^2-6x+8$

$g(x)=-x+4$

For which values of x is
g(x)>0 true?

$$ x<4

The following function is graphed below:

$f(x)=x^2-6x+8$

$g(x)=-x+4$

For which values of x is
f(x) > g(x) true?

x < 1,4 < x

The following function is graphed below:

$g(x)=-x+4$

For which values of x is

f(x) < g(x) true?

1 < x < 4

The following functions are graphed below:

$f(x)=x^2-6x+8$

$g(x)=4x-17$

For which values of x is
f(x) < g(x) true?

5 < x

The following functions are graphed below:

$f(x)=x^2-6x+8$

$g(x)=4x-17$

For which values of x is

f(x)>0 true?

x < 2, 4 < x