Porisma

A hint to get started

Use a nonpositive squared input

(a) Using an algebraic method, solve the inequality x+43+2x−x2<1\dfrac{x+4}{3+2x-x^2}<1. marks

(b) Hence solve the inequality x2−4x4+2x2−3<1\dfrac{x^2-4}{x^4+2x^2-3}<1. marks

[2013/CJC/I/4]

CJC · Review Problems · Question 8

Move all terms to one side and identify zeros and forbidden denominator inputs before choosing intervals.

Read the worked solution