Answer:
y > -1/2 x + 4
Step-by-step explanation:
Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-4)/(2-4)= (x-0)/(4-0)
(y-4)/-2 = x/4
(-y+4)/2 = x/4
-y+4 = 1/2 x
-y = 1/2 x - 4
y = -1/2 x + 4
the solutions of the inequality are the points above this line, so
y > -1/2 x + 4
√5/√32
Multiply both numerator and denominator by √32
√160/32
4√10/32
=√10/8
Evaluate the numerator:
1+5*3
1+15
16
Then divide it by the denominator
16/2=8
Final answer: A 8
Funny, this looks like a complex graph, until you realize that the numerator can be written like (x+3)(x-9).
So really, this is a straight line f(x) = x-9.
But wait, there's a catch. x≠3, because that would divide by zero. So in your straight line, you have to draw a "hole" at (3,6)