How do we show where an inequality is true on the number line! 50 points!

After that, pick a point in both regions and "test" it, check to see if it satisfies the inequality when plugged in for the variable. If it does, draw a darker line from the point into that region, with an arrow at the end. That is the solution to the equation: if one point in the region satisfies the inequality, the entire region will satisfy the inequality.

I had to check back in an old textbook to remember all of that. Sorry about the earlier answer. That was rather foolish to do so without actually understanding the question.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204