SOLUTION: My homework is on Absolute Value inequalities. The math problem is {{{ abs(10+X)<8 }}} So far i got: {{{ 10+X<8 AND 10+X >-8}}} {{{ x<-2 AND x >-18 }}} Are my signs correc

Algebra ->  Absolute-value -> SOLUTION: My homework is on Absolute Value inequalities. The math problem is {{{ abs(10+X)<8 }}} So far i got: {{{ 10+X<8 AND 10+X >-8}}} {{{ x<-2 AND x >-18 }}} Are my signs correc      Log On


   



Question 483937: My homework is on Absolute Value inequalities.
The math problem is +abs%2810%2BX%29%3C8+
So far i got:
+10%2BX%3C8+AND+10%2BX+%3E-8
+x%3C-2+AND+x+%3E-18+
Are my signs correct?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
My homework is on Absolute Value inequalities.
The math problem is +abs%2810%2BX%29%3C8+
So far i got:
+10%2BX%3C8+AND+10%2BX+%3E-8
+x%3C-2+AND+x+%3E-18+
Are my signs correct?
------------------
|10+x| < 8
10+x < 8
x < -2
---------
-10-x < 8
-x < 18
x > -18
----------
-18 < x < -2
Same answer, but more succinct.