⇒The given inequality is
x²-y²<9
[tex]\frac{x^2}{3^2}-\frac{y^2}{3^2}<1[/tex]
⇒The general equation of Hyperbola is
[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]
→The curve will cut the x axis at (3,0) and (-3,0).
So, the given function matches with the curve of Hyperbola.
⇒When the points are from [-3,3] , the function will satisfy the given Inequality.That is if you take , points prescribed in the given interval the function will satisfy the inequality.
⇒Graph B
