Question

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x > –2 y ≤ 2x + 7 A. (1, 11) B. (–1, 6) C. (–1, 4) D. (–3, –1)

Answer 1

http://www.regentsprep.org/Regents/math/ALGEBRA/AE85/GrIneqa.htm

Answer 2

ok so what now i have no idea what to do

Answer 3

graph them both
shade them both

where their shades intersect, any point on that area, is a solution
\(\bf x>-2y\le 2x+7\quad \textit{dividing all sides by -2}\\ \quad \\
\cfrac{x}{-2}>\cfrac{-2y}{-2}\le \cfrac{2x+7}{-2}\\ \quad \\ \textit{recall when multiplying/dividing/exponentializing by a negative value}\\ \quad \\
\textit{we have to }{\color{red}{ flip}}\textit{ the inequality sign}\\ \quad \\

\cfrac{x}{-2}>\cfrac{-2y}{-2}\le \cfrac{2x+7}{-2}\implies \cfrac{x}{-2}<\cfrac{-2y}{-2}\ge \cfrac{2x+7}{-2}\\ \quad \\\implies
\begin{cases}
\cfrac{x}{-2}<y\implies {\color{blue}{ y> \cfrac{x}{-2}}}\\ \quad \\
\bf {\color{blue}{ y\ge \cfrac{2x+7}{-2}}}
\end{cases}\)

Answer 4

ok i think it is a is that right

Answer 5

hmm dunno check your graphs shading

Answer 6

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.

x + y ≥ 5
x – 2y > 8

Answer 7

A.


(6, 2)


B.


(6, –2)


C.


(8, –1)


D.


(6, 1)