Question

x^2 <= 3 -2x
I factored and got: (x-1)(x+3)<=0 now what?

Answer 1

now draw a line of numbers, mark -3 and 1 on it. If you are at -infinity till -3 then both factors are negative. Between -3 and 1 x-1 is negative x+3 is positive. After 1 both are positive.
Now when will you get something lower than 0?
When you multiply -*+ (-*-=+, +*+=+)
So the answer is x is greater/equal than -3 and lower/equal than 1.

Answer 2

I wrote so much just to illustrate my method, but you can do it differently too.

Answer 3

[-3,1] right?

Answer 4

sure :)

Answer 5

i was gonna write a sequal to your novel, but..... ;)

Answer 6

This was how my favourite teacher taught me! :-)

Answer 7

is this all for my question?

Answer 8

i learned it that way as well...

Answer 9

alot easier than trying to keep track of it in your head :)

Answer 10

it is always worth making some kind of drawing, helps a lot