1969 AMC 12 Question 14
AMC12 · 1969 AMC 12
The complete set of $x$-values satisfying the inequality $\dfrac{x^2-4}{x^2-1}\gt0$ is the set of all $x$ such that:
$x\gt2$ or $x\lt-2$ or $-1\lt x\lt1$
$x\gt2$ or $x\lt-2$
$x\gt1$ or $x\lt-2$
$x\gt1$ or $x\lt-1$
$x$ is any real number except $1$ or $-1$