1. The problem states: You have 37 units of money and need to save 3 units for bus fare. We want to find the inequality representing the amount of money $m$ you can spend.
2. Since you must save 3 units, the money spent plus the saved money should be less than or equal to 37:
$$m + 3 \leq 37$$
3. Rearranging the inequality to isolate $m$:
$$m \leq 37 - 3$$
4. Simplifying the right side:
$$m \leq 34$$
5. This means you can spend at most 34 units of money.
6. Now, let's check the given inequalities:
- $37 - m > 3$ can be rewritten as $m < 34$, which is similar but strict inequality.
- $3 < m + 37$ simplifies to $m > -34$, which is not relevant here.
- $37 - m \geq 3$ simplifies to $m \leq 34$, which matches our derived inequality.
- $m \leq 37 + 3$ simplifies to $m \leq 40$, which is incorrect since you only have 37.
7. Therefore, the correct inequality representing the amount of money you can spend is:
$$37 - m \geq 3$$
or equivalently
$$m \leq 34$$
Final answer: $37 - m \geq 3$
Money Inequality
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