Question 563847
Cross-multiply


*[tex \LARGE x^2 - 4 < x^2 + 2x - 3]


Cancel out x^2, add 4 to both sides


*[tex \LARGE 0 < 2x + 1]


*[tex \LARGE -1 < 2x \Rightarrow x > -\frac{1}{2}]