Question

The hyperbola below is a graph of the equation x^2/3^2 - y^2/2^2=1. Which of the points satisfy the inequality x^2/3^2 - y^2/2^2 >1? Check all that apply.

Answer 1

$( \frac{x}{3})^{2} - ( \frac{y}{2}) ^{2} \ \textgreater \ 1, x^{2} \ \textgreater \ 3^2(1+ ( \frac{y}{2} )^{2} ), x^2\ \textgreater \ \frac{9}{4} (4+y^2) if y=0,x^2\ \textgreater \ 9$
x<-3,or x>3
only A and B satisfy the given condition.