solution set | x - 3 | < 7

| x - 3 | < 7

The thing to notice here is that x-3 must be less than 7 units from 0 on the number line .. so...

-7 < x-3 < 7

-4 < x < 10

| x - 3 | < 7
How to solve the inequality?
We are looking for the solution.
Please also specify the individual steps for the solution.

| x - 3 | < 7   We are looking for the solution.

Thank you! Your answers are very useful to me.

LG   !

Hi Rudi,

You might find this old post interesting too.

It is a visual representation of what I was trying to say.

it is   

|3n|>15

This is saying that the distance of 3n from the origin must be more than 15.  

Have a look at what I have done on the number line. :)

https://web2.0calc.com/questions/what-the-absolute-value-of-three-times-a-number-n-is-greater-than-15