I need help solving this. |x−4| if x>4. You have to write the expression without using the absolute value sign.

We simply drop the absolute value signs and write whatever is inside

This is because |x-4| is really composed of two equations and it depends on what x is

If x < 4, then we use -(x-4) or -x+4

If x >= 4, then we use x-4

This is from the idea that |x| breaks down into this piecewise function

Replace every x with x-4

Then for each inequality, you would solve for x to get the following

which is the same as

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral