Question

which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10
x + y < 5

Graph choices below

Answer 1

1.

Answer 2

2.

Answer 3

thanks!

Answer 4

the equations in standard form are
y >= 5/2x - 5
y < 5 - x

Answer 5

what do you do next?

Answer 6

next, i can see that the dashed line is this equation
y < 5-x

and that y must be SMALLER than 5-x, so, it must have its filled area
below the function line, to the left of the function line

Answer 7

two graphs remain, graph 1 and 3

Answer 8

So what would be the best graph to represent the equations?

Answer 9

we have to determine if the solid line has its solutions to the left or to the right

Answer 10

so for every x, do we allow y to be larger than the function value, or smaller

y >= 5/2x - 5

Answer 11

Well if y is greater than is it larger?

Answer 12

right :)

so, if the solid one needs coloring above its function line
and the dashed one needs coloring below its function line

I would say it's graph 1

Answer 13

that makes a lot of sense, thank you for helping me:)

Answer 14

you're welcome!