x²+x>1 in equality i cnat figure out how to factor it it does not make sense to me how you can have a single x and a negative 1
Now factor the LHS of this inequality:
A product of 2 factors is positive (that means it is greater than zero) if both factors have the same sign. Therefore you get 2 sets of 2 inequalities:
Solve each inequality for x. Simplify. YOU'll get:
I've attached a diagram to show you how to solve such inequalities by graphing.