Now look at the words around $1{,}500$: when something is “no more than $1{,}500$,” is $1{,}500$ itself allowed, or not allowed?

You need an inequality that keeps $p$ between $600$ and $1{,}500$ while matching which endpoints are allowed. Which choice shows $p$ being bigger than $600$ but not bigger than $1{,}500$?

Picture the description as numbers on a number line: amounts greater than $600$ but no more than $1{,}500$. This is the interval just to the right of $600$ up through and including $1{,}500$.

In Desmos, use $x$ instead of $p$. For each answer choice, type it as an inequality in $x$, for example:

• x >= 1500
• 600 <= x <= 1500
• 600 < x <= 1500
• x < 600 and x > 1500 (enter these as two separate lines) Look at the shaded regions on the $x$-axis that each choice produces.

Compare the shading for each choice to the mental picture from Step 1: values between $600$ and $1{,}500$, not including $600$ but including $1{,}500$. The choice whose shaded region exactly fits that description is the correct inequality.

Focus on the lower amount: the club must raise more than $600$ dollars.

• “More than $600$” means the amount $p$ must be greater than $600$.
• This is written as $p > 600$ (not including $600$ itself).

Now look at the upper amount: the club must raise no more than $1{,}500$ dollars.

• “No more than $1{,}500$” means $p$ can be $1{,}500$ or any smaller amount (as long as it still satisfies the first condition).
• This is written as $p \le 1500$ (including $1500$ itself).

Both conditions must be true at the same time:

• $p > 600$
• $p \le 1500$

We write this as a compound inequality:

Now check the choices and select the one that exactly matches this compound inequality.