+0  
 
0
641
5
avatar+7940 

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

laugh  ?

 Sep 23, 2017
edited by asinus  Sep 23, 2017
 #1
avatar+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
avatar+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.

 

laugh

 Sep 23, 2017
 #4
avatar+7940 
+1

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

 

Thank you! Your answers are very useful to me.

LG laugh  !

 Sep 24, 2017
 #5
avatar+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

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