Compare squared and reflected inputs

Do not use a calculator in answering this question.

Solve the inequality $\dfrac{x+4}{-x^2+2x+3}<1$.4 marks

Deduce the solution of

(i) $\dfrac{x^2+4}{-x^4+2x^2+3}<1$,2 marks

(ii) $\dfrac{x-4}{x^2+2x-3}<1$.2 marks