Question

Medals! Can someone help me with the third part of my question?

Answer 1

I need to do this part now:

1. A point: Choose a point within the boundaries of the shape, and show algebraically that the point satisfies all of the inequalities.

Answer 2

@mathgeek27 @mathmath333

Answer 3

honestly, Idk I'm stumped :P Sorry I couldn't be of any help :( Good luck and have a nice day :)

Answer 4

Okay. :p

Answer 5

\(\large\tt \begin{align} \color{black}{\text{lets take the point(3,3) from trapezium here }\\~\\
\text{our inequalities are }\\~\\
y\leq 3x-1\\~\\y\leq -3x+17\\~\\ y\leq 5\\~\\ y\geq 2\\~\\
\text{now put the point (3,3) in all inequalities and check}\\~\\
y\leq 3x-1\\
3\leq 3\times 3-1\\
3\leq 8~~so true\\~\\
y\leq -3x+17\\
3\leq -3\times 3+17\\
3\leq 8~~so true\\~\\
y\leq 5\\
3\leq 5\\~~so true\\~\\
y\geq 2\\
3\geq 2~~true\\~\\
\text{so from this proof we can see that}\\~\\
\text{the point(3,3) satisfies all the inequalities }
}\end{align}\)

Answer 6

Thats so weird I chose the same point yesterday before you answered! Thanks anyways.