## Related questions with answers

Question

Graph the system of linear inequalities and indicate the solution set.

$\left. \begin{array} { l } { x - y > 5 } \\ { 6 x + 5 y \leq 30 } \end{array} \right.$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4Using a table of values, graph the equation $x-y=5$.

The graph of $x-y>5$ uses a dashed line. To determine if the solution is above or below the line, use a test point, such as $(0,0)$. That is,

$\begin{align*} x-y&>5 \\ 0-0&>5 \\ 0&>5 \text{ (FALSE)} .\end{align*}$

Since the substitution above resulted in a FALSE statement, then the solution is the region which excludes the test point.

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