Help with this interval notation

4 |x+1| -1 < 2

I'm assuming you want to solve for x

First add 1 to both sides, forming

4|x+1|<3

Then divide both sides by 4, forming

|x+1|<3/4

Now we use the properties of absolute value to form two separate equations

x+1<3/4 (the first equation is the same as the original, but without the absolute value signs)

and

x+1>-3/4 (the second one involves using the same equation as the first, but multiplying ONE side by -1 and flipping the less-than-sign to a greater-than-sign)

Now you solve each equation separately

x+1<3/4, subtract 1 from both sides forming x<-1/4

x+1>-3/4, subtract 1 to both sides forming x>-7/4

so -7/4