Practice section 1 of 7

Find the range of values of x such that $x^2+2x-15<0$.

Solve (i) $(x-1)(x+1)(x+3)^2>0$ and (ii) $(x-1)(x+1)(x+3)^2\le0$.

Find the set of values of x satisfying $x^2-9>(x-3)(5-x^2)$.

Self-Practice 1: solve $(x^2+1)(4x^2-1)\ge0$.

Without using a calculator, solve $10/x\le19-6x$.

Self-Practice 2: without using a calculator, find the set of values of x satisfying $2/x>x+1$.