+0

# solution set | x - 3 | < 7

0
641
5
+7940

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

?

Sep 23, 2017
edited by asinus  Sep 23, 2017

#1
+97581
+3

| 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

Sep 23, 2017
edited by Melody  Sep 23, 2017
edited by Melody  Sep 23, 2017
#2
+9926
+3

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

Sep 23, 2017
#4
+7940
+1

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

LG   !

Sep 24, 2017
#5
+97581
0

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

Sep 24, 2017