Question 695848: Hello, I've been having trouble with Linear equations. Can you help me how to solve them step by step? Thanks
y
y>-x^2+1
p.s: I need to Graph it too.
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! Something went wrong (got lost in translation) while you were entering the problem. Maybe you had some typos.
Or maybe not everything you typed is shown the way you meant because of the way characters are coded by computers.
Linear equations (in their most simplified form) do not have exponents on the variables, and I see exponents, so maybe you meant non-linear.
Equations involve equal signs, but I see a > sign instead, which would make it an inequality instead of an equation.
Maybe you meant you have to solve, by graphing, the system of non-linear inequalities

is a non-linear equation. It can also be called a non-linear function.
Because the is squared it can also be called a quadratic function.
The graph for the quadratic function is 
is the graph of quadratic function .
Graphing both together, you would have 
The graphs touch at the point where and .
To graph you would just
graph as a dotted line (to show that those points are not part of the solution),
and then you would color or shade the points (below the curve) that have smaller values, to get something like this:

For , you would graph as a dotted line,
and then you would color or shade the points (above the curve) that have larger values, to get something like this:

To graph you would just graph both curves as dotted lines
(to show that those points are not part of the solution),
and then you would color or shade the points in between,
the ones that are part of the graph of 
and also are part of the graph of
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