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Math·Algebra·Linear inequalities in one or two variables

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$$\begin{gathered} y\le 10-x \\ y\ge \frac{3}{2}x \end{gathered}$$ Which shaded region represents the solutions to the given system of inequalities?

A

The boundary of the first inequality is a solid line that slants sharply up from left to right and passes through $(0,0)$ and $(4,6)$. The boundary of the second inequality is a solid line that slants gradually down from left to right and passes through $(0,10)$ and $(10,0)$. The area below and to the right of the first boundary and also above and to the right of the second boundary is shaded.

B

The boundaries are identical to those in Answer Choice A. The area above and to the left of the first boundary and also above and to the right of the second boundary is shaded.

C

The boundaries are identical to those in Answer Choice A. The area below and to the right of the first boundary and also below and to the left of the second boundary is shaded.

D

The boundaries are identical to those in Answer Choice A. The area above and to the left of the first boundary and also below and to the left of the second boundary is shaded.