Question

Check my answer?

Answer 1

Write a set of linear inequalities to represent the following graph.
http://prntscr.com/8vwr0g

Answer 2

I think that the green region is represented by this inequality:
\[y \geqslant - \frac{2}{3}x + 3\]

Answer 3

idk im really confused tbh

Answer 4

the equation of the green line, is:
\[\frac{y}{3} + \frac{x}{{9/2}} = 1\]

Answer 5

since it passes at points \((0,3)\) and \((4.5,0)\) I have used this: \((4.5=9/2)\)

Answer 6

similarly, the blue line, passes at points \((0,-7)\) and \((3/2,0)\), so its equation is:
\[\frac{y}{{ - 7}} + \frac{x}{{3/2}} = 1\]

Answer 7

so, the blue region, is represented by this inequality:
\[y \geqslant \frac{{14x}}{3} - 7\]

Answer 8

so would it be like this?
http://prntscr.com/8vww2g

Answer 9

correct!

Answer 10

Thank u!

Answer 11

:)