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Let's break down the problem step by step:

Maurice starts with 16 cups of sugar and uses 1.2 cups each week. We need to determine when he will have more than 10 cups of sugar left in the pantry.

### Step 1: Equation Setup
The amount of sugar left after \( w \) weeks is:
\[
\text{Sugar remaining} = 16 - 1.2w
\]

### Step 2: Set the inequality
We are asked to find when Maurice will have **more than 10 cups** of sugar, so we set the inequality:
\[
16 - 1.2w > 10
\]

### Step 3: Solve for \( w \)

Subtract 10 from both sides:
\[
16 - 1.2w > 10
\]
\[
6 > 1.2w
\]

Now, divide by 1.2:
\[
\frac{6}{1.2} > w
\]
\[
5 > w
\]

Thus, \( w < 5 \).

### Answer:
The correct inequality is **\( w < 5 \)**, meaning Maurice will have more than 10 cups of sugar in the pantry for the first 5 weeks.

Therefore, the correct answer is **B. \( w < 5 \)**.

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Do you want more details or have any questions? Here are some related questions to expand your understanding:

1. What happens to the inequality if the sugar used each week changes?
2. How would the inequality change if Maurice wants less than 5 cups left?
3. How can we solve similar problems with different initial amounts of sugar?
4. How would the inequality change if Maurice baked twice a week instead of once?
5. How can you graph the inequality to visualize the number of weeks Maurice will have more than 10 cups?

**Tip:** Always double-check the direction of the inequality when solving word problems involving comparisons.

Maurice has 16 cups of sugar in his pantry. He decides to use the sugar to bake cookies every Monday. Each time he makes cookies, he uses 1.2 cups of sugar. Which inequality represents the period, w, in weeks, when Maurice will have more than 10 cups of sugar in his pantry?

Explore how to solve inequalities with a practical example of Maurice using 16 cups of sugar for baking cookies. This problem uses basic algebra to find how many weeks Maurice can continue baking before his sugar drops below 10 cups. Suitable for Grade 7 students.

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