Seems like it would depend on length of commute and climate in your area. You might be fine biking to work in those clothes if the weather is 50 degrees or under and your ride is less than 5 min with no climbs.

Right now it is high 80s, low 90s every day with high humidity in my area, and it would take about 1 hr. 30 min. to bike to work. I could ride in my business casual pants and long sleeve shirt, but they would be drenched in sweat by the time I arrived at the office, and my coworkers would soon complain about the smell. It seems like everybody who has to ride 20 min. or more to work here brings a change of clothes.