Final answer:
The inequality to find the weekly tips Taliyah must earn to make more as a server than as a hostess is 310 + T > 530, where T represents the server tips.
Step-by-step explanation:
To find the necessary weekly tips Taliyah must earn as a server to make more than she would as a hostess, we need to set up an inequality that compares the two payment options. Since she would earn $530 weekly as a hostess and $310 plus tips as a server, the inequality would compare her server earnings and her hostess earnings to find when her server job would pay more.
The inequality that represents this situation is 310 + T > 530, where T represents Taliyah's weekly tips as a server. We need to solve this inequality for T to understand how much she needs in tips to exceed the earnings of a hostess.