Solve |5x-3| ≤8 then graph the solution on a number line. Please show work

Question

anonymous · Answer

How about you tell us what your problem is. Im not going to do your work for you.

anonymous · Answer

well i have an answer i just want to make sure it is right, and I am confused on how to graph it

anonymous · Answer

So when you see an absolute value sign you automatically know that the graph should look like what?

anonymous · Answer

That's the part I am confused on

anonymous · Answer

If you solve it and get an answer i will give you a medal and fan you

anonymous · Answer

Absolute value means the distance away from 0

anonymous · Answer

Correct?

anonymous · Answer

yes

anonymous · Answer

So, you can be -5 units away from something, but truly you are still 5 units away from where that something is.

anonymous · Answer

Give me a minute to type this up

anonymous · Answer

ok thanks

anonymous · Answer

To solve this equation we know that the value of 5x-3 is always 8 units away from 0. This is kind of hard to explain here, but this is what it actually means: $$8\le5x -3\le8$$

anonymous · Answer

However, that is for a number line graph and I'm assuming you want an actual graph

anonymous · Answer

a number line

anonymous · Answer

You want a number line?

anonymous · Answer

yes graph the solution on a number line

anonymous · Answer

|dw:1415749182948:dw|

anonymous · Answer

can you please solve the problem

anonymous · Answer

As stated above, 5x-3 is less than 8 but greater than -8
Im about to finish the drawing

anonymous · Answer

|dw:1415749342868:dw|
This basically is saying that 5x-3 can be anywhere in the shaded area.