Question

How do you graph the inequality `x^2 – 12x + 32 <12`?

Answer 1

See the explanation

Explanation:

Given`" "x^2-12x+32<12`

Write as:

`" "x^2-12x+32-12 < y`

`y>x^2-12x+20`

Now solve as a normal quadratic. Bulk a table of values and plot the curve. Remember that `y` can not take on the actual curve value. It is stated as `y >" and not as "y>=`. The last one is the context in which `y` could take on the value of the curve.

Or if you multiply everything by (-1) you get

`-y<-x^2+12x-20`

Notice that this action turned > into < and that also `y` became negative.`color(brown)(" However, both curves turn out to be the same.")`