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Which system of inequalities represents the graph?

Which system of inequalities represents the graph?-example-1

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The solid line is described by the equation

... 3x +5y = 10

The shaded portion of the graph is below that line, so you expect something like

... 3x +5y ≤ 10

This matches the 1st and 3rd selections.

The steepest line has an equation like

... 5x +y = 6

The line is dashed and the shading is to the right of it, so you expect something like

... 5x +y > 6.

This matches the 2nd and 3rd selections.

The appropriate selection is the 3rd selection.


\left \{ \begin{array}{l}3x+5y\leq 10\\-x+y>-5\\y-6>-5x\end{array} \right.

User Nishant Srivastava
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