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

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UpStudy AI · Accepted Answer

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:
   $$
   d \geq 500
   $$

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**Summary of Inequalities:**
$$
\begin{align*}
f &\geq 30 \
d &\geq 500
\end{align*}
$$
$$ f \geq 30 \quad \text{and} \quad d \geq 500 $$

Write inequalities to represent the situations below.

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