Question

Adam has at least $25 in his wallet and no more than $375 in his savings. How can Adam represent this scenario as a system of linear inequalities, where w is the amount of money in his wallet and s is the amount of money in his savings?

Answer 1

To represent the scenario with a system of linear inequalities, we can set up the following inequalities based on the information given:

1. Adam has at least $25 in his wallet, which can be represented by the inequality:
\[
w \geq 25
\]

2. Adam has no more than $375 in his savings, which can be represented by the inequality:
\[
s \leq 375
\]

So, the system of linear inequalities for this scenario is:
\[
\begin{align*}
w & \geq 25 \\
s & \leq 375
\end{align*}
\]

This system captures the constraints on the amount of money in Adam's wallet (w) and his savings (s).