Question

solve equation
write in interval notation
6x^2-x-1 over x^2+4x+4 > o

Answer 1

Should factor all that first.

Answer 2

(2x-1)(3x+1) over (x+2)(x+2) > 0

Answer 3

Ok, looks like nothing cancels out. This can be tricky because you need to consider the ways in which this fraction will be greater than zero. 1) both the numerator and denominator are positive, or both numerator and denominator are negative.

You can set both numerator and denominator equal to zero to see where the intervals are.

Graphing also helps.