Question

Choose the best graph to fit the inequality. x^2 + y^2 is less than 16.

Answer 1

The graph in the attached figure

Explanation:

we know that

`x^(2)+y^(2)=4^(2)`

Is the equation of a circle with center at the origin and radius 4 units

so

the inequality

`x^(2)+y^(2)< 4^(2)`

`x^(2)+y^(2)< 16`

The solution is the shaded area inside the dashed line of the circle

using a graphing tool

see the attached figure