|x+7|+1512 is this (-10,-4) or no solution

because i got both when i did it but don't know which one it is

Question

|x+7|+15>12 is this (-10,-4) or no solution 

because i got both when i did it but don't know which one it is

mathstudent55 · Answer

|x+7|+15>12 
Subtract 15 from both sides
|x + 7| > -3
You have a negative number on the right side.
The absolute value of any number is always non-negative (meaning zero or positive).
Therefore, any number you put in for x and add 7 to it, the absolute value of the sum will be non-negative, and a non-negative number is greater than -3. The solution is all real numbers.

anonymous · Answer

so it would be no solution

mathstudent55 · Answer

No, not "no solution." No solution means there is no number that works.
Here it's just the opposite, every real number works. The solution is "all real numbers".

mathstudent55 · Answer

Sorry, I wrote that answer a while ago, but I keep loosing the connection, and it didn't go through.

anonymous · Answer

it's okay