StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q. 31

Expert-verifiedFound in: Page 783

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

$\left\{\begin{array}{l}2x+y\ge -2\\ 2x+y\ge 2\end{array}\right.$

The graph is

The graph of the line $2x+y=-2$ will be drawn first.

Take any arbitrary point say, $(0,0)$.

The given equation satisfies the point.

Therefore, the shaded portion will contain the point $(0,0)$

The graph of the line$2x+y=2$ will be drawn first.

Take any point say$(0,0)$

The given inequality $2x+y\ge 2$ does not satisfy the point.

Hence, it will not be included in the shaded region.

The intersection of both the graphs of the lines will give the final graph.

94% of StudySmarter users get better grades.

Sign up for free