AUSTIN, Texas (AP) — Multiple Texas counties and cities are ordering businesses to require customers and workers to wear face masks as the state sees a continued rise in the numbers of new coronavirus cases and hospitalizations.

Republican Gov. Greg Abbott, who has refused to order a face covering mandate for individuals, said this week that local governments can instead order businesses to require them.

Bexar County was the first, and local officials in some of the state's most populous areas, including the city of Austin, Dallas County, Harris County and El Paso County, quickly adopted simil...