Question

Solve x^2 - 5x -14 <0

Answer 1

start by factoring as
\[(x-7)(x+2)<0\]

Answer 2

this gives you the zeros of \(-2\) and \(7\)
since this is a parabola that opens up, it is positive outside the zeros and negative between them

Answer 3

you want "negative" i.e. less than zero, so it is \(-2<x<7\)