1. **State the problem:** Students are selling tickets at 11 each to raise money for a dance. They already have 450 from the PTO and need at least 1110 total to cover costs. We want to find how many tickets, $t$, they need to sell. 2. **Write the inequality:** The total money from tickets plus the PTO money must be at least 1110: $$11t + 450 \geq 1110$$ 3. **Simplify the inequality:** Subtract 450 from both sides: $$11t + \cancel{450} - \cancel{450} \geq 1110 - 450$$ $$11t \geq 660$$ 4. **Solve for $t$:** Divide both sides by 11: $$\frac{11t}{\cancel{11}} \geq \frac{660}{\cancel{11}}$$ $$t \geq 60$$ 5. **Interpretation:** The students need to sell at least 60 tickets to meet or exceed the required amount for the dance costs.