How do I identify the solution set for an inequality when given the graph: -x^2+9x-14(less than or equal to)0

Question

fibonaccichick666 · Answer

well, if given the graph, usually there is a shaded region

anonymous · Answer

I don't see a shaded region :(

fibonaccichick666 · Answer

If you are given a graph, there has to be a shaded region for the graph to be correct for an inequality.  But we can do it by hand and you can compare it to your graph if you wish

fibonaccichick666 · Answer

oh oh oh wait a sec

anonymous · Answer

Yes, please...& ok

fibonaccichick666 · Answer

I overcomplicated, sorry.

fibonaccichick666 · Answer

so, you have something like this|dw:1445489229105:dw|

fibonaccichick666 · Answer

yea?

anonymous · Answer

On my paper it shows it on the right side but pretty much the same ......

fibonaccichick666 · Answer

"-x^2+9x-14(less than or equal to)0"

So when on that graph will you put an x value in and get a negative y value?

fibonaccichick666 · Answer

or, a y value less than zero

anonymous · Answer

Below the x axis....

fibonaccichick666 · Answer

yup, and at what x values does that occur?

anonymous · Answer

At 2 on the x axis and below. ... and at 7 and below

fibonaccichick666 · Answer

for mine above, it looks like this|dw:1445489434076:dw|

the y value is less than zero on $$- \infty < x\le a ~~U~~b\le x<\infty$$