"LLC loss of $4,000 on Sch E"

That is too vague ... is the loss from a rental or a K-1 from a partnership or corporation ?  

The most you can contribute to all of your traditional and Roth IRAs is the smaller of:

For 2018, $5,500, or $6,500 if you’re age 50 or older by the end of the year; or
your taxable compensation for the year.
For 2019, $6,000, or $7,000 if you’re age 50 or older by the end of the year; or
your taxable compensation for the year.

(Taxable compensation is generally wages that you worked for - W-2 or net self-employed income minus the deducible part of the SE tax, but can include commissions, alimony and separate maintenance, and nontaxable combat pay ).

See this IRS article for Roth contribution limits:

https://www.irs.gov/retirement-plans/roth-iras

If box 1 of your W-2 shows $5,000 (and you have no amount in box 11), you can contribute $5,000 to IRAs.  What you have on Schedule E has no bearing on your eligibility to contribute to an IRA.