Write inequalities to represent the situations below. \[ \begin{array}{l}\text { The vehicle's fuel efficiency is no less than } 30 \text { miles per gallon. } \\ \text { Use } f \text { to represent the vehicle's fuel efficiency (in miles per gallon). } \\ \square \\ \text { To get the } 10 \% \text { discount, a shopper must spend at least } \$ 500 \text {. } \\ \text { Use } \mathbf{d} \text { to represent the spending (in dollars) of a shopper who gets the discount. } \\ \square\end{array} \]

Certainly! Here are the inequalities representing each situation: 1. **Vehicle's Fuel Efficiency** The fuel efficiency \( f \) must be **no less than** 30 miles per gallon. This translates to: \[ f \geq 30 \] 2. **Shopper's Spending for Discount** To qualify for the 10% discount, the shopper's spending \( d \) must be **at least** \$500. This can be expressed as: \[ d \geq 500 \] --- **Summary of Inequalities:** \[ \begin{align*} f &\geq 30 \\ d &\geq 500 \end{align*} \]