Should women cover while breastfeeding in public?

While out yesterday my SO said something that shocked me. He asked I cover our daughter and myself while she was eating. When I asked why, he replied with it may make other people uncomfortable (we were out to eat and others were eating around us) and he didn't want others seeing my breasts. I use two shirts so hardly anything shows and it's taken a lot for me to want to breastfeed in public. Honestly I was hurt. So I'm curious. Breastfeeding women, do you cover? And those who don't breastfeed or don't have children do you think mothers should cover up? 

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