Answer:
The graph shaded outside the parabola and the curve is solid.
Step-by-step explanation:
The given inequality is
[tex]y+4x\leq x^2+2[/tex]
It can be rewritten as
[tex]y\leq x^2-4x+2[/tex]
The sign of inequality is [tex]\leq[/tex], so the curve is a solid line.
The related equation of line is
[tex]y=x^2-4x+2[/tex]
Table of values is
x 0 2 4
y 2 -2 2
Plot these points and draw a U-shaped curve.
Check the equality for (0,0).
[tex]0\leq (0)^2-4(0)+2[/tex]
[tex]0\leq 2[/tex]
This statement is true. So, (0,0) lies in the shaded portion.
So, shade the graph outside the parabola.
