A team hosting an event to raise money for new uniforms plans to sell at least $140$ tickets before this event and at least $220$ tickets during this event to raise a total of at least $\$\mathrm{5,820}$ from all tickets sold. The price of a ticket during this event is $\$3$ less than the price of a ticket before this event. Which inequality represents this situation, where $x$ is the price, in dollars, of a ticket sold during this event?