(a)Without using a calculator, solve the inequality

(b) Deduce the range of values of x that satisfies.

Solutions: (a): x≤-6 or 1≤x<3 or x>3

(b): 0<x≤e^{-6} or e≤x<e^{3} or x>e^{3}

(a)

(b)

lnx ≤ -6

x ≤ e^{-6}

1≤ lnx <3

e≤x<e^{3}

lnx>3

x>e^{3}