SOLUTION: Please help me solve the following question: Solve and write in interval notation for the solution set: The absolute value of x+2 greater than or equal to 4

Algebra.Com
Question 163007: Please help me solve the following question:
Solve and write in interval notation for the solution set:
The absolute value of x+2 greater than or equal to 4

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Please help me solve the following question:
Solve and write in interval notation for the solution set:
The absolute value of x+2 greater than or equal to 4



The rules for removing the absolute value bars in inequalities
are

1.  can be rewritten as 

2.  can be rewritten as 

3.  can be rewritten as 

4.  can be rewritten as 

Your problem:


is case 4.

 

can be rewritten as



Add  to both sides in both parts:



      

<==========@-----------------------@=========>
 -9 -8 -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5

   

Edwin


RELATED QUESTIONS

Solve the following inequality. Write the solution in interval notation and graph it. (... (answered by lwsshak3)
Solve the absolute value inequality. Write the solution set using interval notation |b + (answered by Edwin McCravy)
Solve the absolute value inequality. Write interval notation for the solution set.... (answered by ikleyn)
Please help me: Solve the following inequality. Graph the solution set and write it in (answered by Alan3354)
Please help me: Solve the following inequality. Graph the solution set and write it in (answered by Alan3354)
please show how to Solve the absolute value inequality, please Write interval notation... (answered by josgarithmetic)
Please help me solve and write interval notation for the solution set -4 less than or... (answered by jim_thompson5910)
. Solve the inequalities using the definition of absolute value. Graph the solution set... (answered by solver91311)
Solve the inequalities using the definition of absolute value. Graph the solution set on (answered by Boreal)