Try the fastest way to create flashcards
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

Verified
Step 1
1 of 4

Using 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.

## Recommended textbook solutions #### A Survey of Mathematics with Applications

10th EditionISBN: 9780134112107Allen R. Angel, Christine D. Abbott, Dennis C. Runde
6,366 solutions #### Probability and Statistics for Engineers and Scientists

9th EditionISBN: 9780321629111 (4 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers
1,204 solutions #### Probability and Statistics for Engineering and the Sciences

9th EditionISBN: 9781305251809 (9 more)Jay L. Devore
1,589 solutions #### Statistics and Probability with Applications

3rd EditionISBN: 9781464122163Daren S. Starnes, Josh Tabor
2,555 solutions