SOLUTION: How do I find the points for an inequality y is greater than or equal to x squared minus 8. I know that it is a parabola which opens upwards with a vertex of -8. The program we

Algebra ->  Graphs -> SOLUTION: How do I find the points for an inequality y is greater than or equal to x squared minus 8. I know that it is a parabola which opens upwards with a vertex of -8. The program we      Log On


   



Question 1149768: How do I find the points for an inequality y is greater than or equal to x squared minus 8.
I know that it is a parabola which opens upwards with a vertex of -8.
The program we use only allows for whole numbers to be selected and therefore finding x and y intercept by setting one variable to zero does not work.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
.

            Hey, everything that  @josgarithmetic  has written in his post,  is  I R R E L E V A N T  and  I N C O R R E C T.

            See my solution below.


Solution

You want to find all solutions to this inequality


y >= x^2 - 8


The curve  y = x^2 - 8 is the parabola opened upwards with the vertex (0,-8).


The solutions to the given inequality are ALL POINTS of the coordinate plane, that are on the parabola or ABOVE the parabola.

That's all.