what is (f−g)(x)?
f(x)=3x^5+6x^2−5
g(x)=2x^4+7x^2−x+16

Step-by-step explanation:

The equation of an inequality is similar to the slope-intercept form:  

y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To find the slope(m), use the slope formula:

    And plug in two points on the line

(0, 3) = (x₁, y₁)

(4, 4) = (x₂, y₂)

b = 3    (they gave you the point (0, 3), the y-intercept = 3)

When the line is a dotted line, the inequality sign is < / > (less than/greater than)

When the line is a solid line, the inequality sign is ≤ / ≥ (less than or equal to/greater than or equal to)

If "y >" (y is greater than), the shaded area is above the line

If "y <" (y is less than...), the shaded area is below the line

Since you know m = 1/4, b = 3, the line is dotted so the sign is < / >, and the shaded area is below the line so "y <"