Question

Hey guys! :) I need help of writing the solution set of this inequality if x is an element of the set of integers. x^2+x<6

Answer 1

x^2+x<6 means

x^2 +x -6 < 0

if we call this expression y, as in y= x^2 +x -6
and plotted this parabola, you would see some of it is less than 0
y will be negative (< 0) for all x's between the 2 roots of the quadratic
you integer solutions will be the integers between the 2 roots