Question

how to solve (x^2+3x+2)/x-3<= 0

Answer 1

what i did was (x+2)(x+1)<=0 then i tested values on that line

Answer 2

and i got [-2,-1] is that correct?

Answer 3

sounds correct

Answer 4

keep in mind that, anything that's lower than -2, will also be lower than -1

Answer 5

not quite. After testing -2 and -1 using the number line test, you get x={(-infiniti, -1]}. That means x<= -1

Answer 6

thus