Porisma

A hint to get started

A positive quadratic with an absolute-value input

Without using a calculator, solve the inequality 3x2x2−3x+1>−1\dfrac{3x}{2x^2-3x+1}>-1. marks

Hence solve 3∣x∣2x2−3∣x∣+1>−1\dfrac{3|x|}{2x^2-3|x|+1}>-1. marks

[2016/YJC/Promo/10(b)]

CJC · Review Problems · Question 7

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

Read the worked solution