Pencils Stickers Inequality Ad7264
1. **State the problem:** James sells pencils for 2 each and stickers for 0.5 each. He wants to make at least 10 dollars daily.
2. **Define variables:** Let $p$ be the number of pencils sold and $s$ be the number of stickers sold.
3. **Write the inequality:** The total money made is $2p + 0.5s$. Since he wants at least 10 dollars, the inequality is:
$$2p + 0.5s \geq 10$$
4. **Solve the inequality for $s$:**
Subtract $2p$ from both sides:
$$0.5s \geq 10 - 2p$$
Divide both sides by 0.5:
$$s \geq \frac{10 - 2p}{0.5} = 20 - 4p$$
5. **Interpretation:** For James to make at least 10 dollars, the number of stickers $s$ must be at least $20 - 4p$ given the number of pencils $p$ sold.
**Final inequality:**
$$2p + 0.5s \geq 10$$
or equivalently
$$s \geq 20 - 4p$$