Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
[tex]x^{2}+y^{2}=4^{2}[/tex]
Is the equation of a circle with center at the origin and radius 4 units
so
the inequality
[tex]x^{2}+y^{2}< 4^{2}[/tex]
[tex]x^{2}+y^{2}< 16[/tex]
The solution is the shaded area inside the dashed line of the circle
using a graphing tool
see the attached figure