SOLUTION: Solve using interval notation. 5 < x - 16 < 12

Algebra ->  Inequalities -> SOLUTION: Solve using interval notation. 5 < x - 16 < 12      Log On


   



Question 337220: Solve using interval notation.
5 < x - 16 < 12

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with:
5 < x - 16 < 12
.
Break it up into a left and right half.
.
Left half:
5 < x - 16
adding 16 to both sides:
21 < x
.
Right half:
x - 16 < 12
adding 16 to both sides:
x < 28
.
Combining the two we get:
21 < x < 28
Or, in interval notation:
(21, 28)
where:
( or ) signifies do not include number
whereas
[ or ] signifies include number