Hey folks, I got a problem here and I think that I have a solution, but the wording of the question makes me think I'm short on the problem.

So I started with the inequality I found and manipulated it into a staight line inequality from there. We know that $\displaystyle y$ must be less than or equal to because she wantsQuote:

Alice has gone to the hardware store to purchase two different kinds of cord she uses in kite construction. The first type of cord has a mass of $\displaystyle 1.50g$ per metre, and the second type has a mass of $\displaystyle 2.00g$ per metre. she intends to purchase no more than $\displaystyle 6.0g$ in total. If $\displaystyle x$ represents the length of the first type of cord and $\displaystyle y$ represents the length of the second type of cord, shade the region in the coordinate plane that represents the lengths of each type of cord she could purchase. State the inequalities that define this region.

no morethan $\displaystyle 6$, right?

So here's what I did.

$\displaystyle 1.5x+2y \leq 6$

$\displaystyle 2y \leq 6 - 1.5x$

$\displaystyle y \leq -\frac{3}{4}x+3$

So I want to just graph this line and shade underneath it, but is there another inequality I'm missing? The question says"State the inequalities that define this region."

Thanks!