local.css ignored when switching to RTL

Hello Drupalists!

I have applied some changes in local.css and they worked just fine while the languages were LTR; however, within the same site, when I switch to an RTL language, the changes applied in local.css are ignored by Drupal! I take it there is a need for a solution that includes local-rtl.css?

What is the best approach for resolving this problem (other than applying the changes in style.css)?

Thanks,
DrupalFan