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The problem asks for an inequality representing the amount of gasoline left in a tank after using 1.5 gallons, given that the tank holds no more than 14.5 gallons.

### Step-by-step solution:

1. **Let \( x \) represent the amount of gasoline left in the tank** after the trip to the grocery store.
   
2. Initially, the gas tank holds up to 14.5 gallons, and the car uses 1.5 gallons on the trip.

3. The remaining gasoline in the tank is given by:
   \[
   \text{Remaining Gasoline} = 14.5 - 1.5
   \]
   This simplifies to:
   \[
   x = 13 \, \text{gallons}
   \]

4. Since the tank holds no more than 14.5 gallons, we can express this condition as:
   \[
   x \leq 14.5
   \]
   After using 1.5 gallons, the amount of gas left is 13 gallons, satisfying this inequality.

Thus, the inequality representing the amount of gasoline left in your gas tank is:
\[
x \leq 13
\]

Would you like further details on any part of this solution?

Here are five related questions to expand your understanding:

1. What inequality would represent the scenario if you started with a full tank and used more than 1.5 gallons of gas?
2. How would the inequality change if the tank's capacity was larger, say 16 gallons?
3. What if you had used half the amount of gasoline on your trip, what would the remaining fuel inequality look like?
4. How do inequalities apply to other real-life situations, like budgeting or time management?
5. Could you solve this problem if you knew how much fuel you had left but not the tank's capacity?

**Tip:** When solving real-world problems with inequalities, always carefully consider what the variables represent and what limitations (like capacity or usage) apply.

Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.

Solve an inequality problem where a gas tank holds no more than 14.5 gallons, and 1.5 gallons are used during a trip. This step-by-step solution covers inequality concepts and basic subtraction for middle school students (Grades 6-8).

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