Question

absvl x+2>5 solve algebraically

Answer 1

http://www.sosmath.com/algebra/inequalities/ineq01/ineq01.html

x + 2 > 5

x > 5 - 2
x > 3

Answer 2

solution -> (inf, 3)

Answer 3

thank you

Answer 4

do you need an explanation of the answer ?

Answer 5

The question uses absolute value, but is unclear about what it applies to. I'll assume the problem is really
|x+2| > 5
That's really two inequalities, and you have to figure out if they're related with "and" or "or".
(x+2) > 5
(x+2)<-5
Well, something can't be greater than 5 AND less than -5, so it must be OR.

(x+2)>5
x>3

x+2<-5
x<-7

So the solution is the union of the two regions x>3 and x<-7. Notice it excludes the points 3 and -7.