Porisma

A hint to get started

Recognise the same rational inequality after a substitution

Without using a calculator, solve (x2+2x+8)/[(x+3)(x−2)]<0(x^2+2x+8)/[(x+3)(x-2)]<0.

Hence solve (x2+2∣x∣+8)/[(∣x∣+3)(∣x∣−2)]<0(x^2+2|x|+8)/[(|x|+3)(|x|-2)]<0.

CJC · Lecture · Example 10

Mark critical values and decide which are allowed before selecting intervals.

Read the worked solution