how would you solve this and put it in interval notation?

Question

anonymous · Answer

|x+4|<6

anonymous · Answer

You want to create two expressions. For the first expression, we just remove the absolute value bars like so:
$$x+4<6$$For the second expression, we have the same thing, but we're going to flip the sign of the 6 and flip the less than to get:
$$x+4 > -6$$Evaluate both expressions to get your answer.

anonymous · Answer

-10<x<2  i ended up with that

anonymous · Answer

but how do i put it in interval notation?

anonymous · Answer

Yep, thats right. In interval notation it looks like this (-10, 2). The brackets are rounded because we don't include -10 or 2 because we don't have "equal to" under either sign.

mathstudent55 · Answer

To solve an absolute value inequality like this one, you need to solve this compound inequality:
-6 < x + 4 < 6
Subtract 4 from all three parts:
-10 < x < 2
Answer: (-10, 2)