Question

|x+48|<67
I got (-inf, 19) U (-115, inf) but it says 'overlapping intervals' what did I do wrong???

Answer 1

Hey Britt c:

Umm... let's see...

Answer 2

\[\Large\rm |x+48|\lt 67\]\[\Large\rm \pm(x+48)\lt 67\]

So we have two cases here:\[\Large\rm x+48\lt 67\]\[\Large\rm -(x+48)\lt 67\]

Answer 3

The first one gives us: \(\Large\rm x \lt 19\)
Mmmm ok good you have that.

Answer 4

In the second case, when we move the negative across the inequality, it flips:\[\Large\rm x+48\gt -67\]And we end up with:\[\Large\rm x\gt-115\]

Answer 5

So if we put that onto a number line:

Answer 6

And we in this direction from 19