Can my employer force all female employees to wear sports bras?

my employer is a cell phone refurb company, due to some major theft incidents they’ve had in the last couple of months they have told all female employees they MUST wear sports bras, so that we will not set off the metal detectors. Many of the women do not have the money to buy them or just do not feel comfortable in sports bras. Is it ok for them to demand that? is it legal for them to tell us what kind of underwear we can wear?
We cant wear anything with any metal at all since they have set the metal detectors to the most sensitive setting, we can t have belts,coins,lighters,earrings made of metal,shoes with metal eyelets etc.
that is we CANT have /\ /\

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