Question

The graph below represents which system of inequalities?

*Graph is attached*

Answer 1

It sounds like you are taking a quiz.

Answer 2

no just homework

Answer 3

you have given no systems, how do we choose?

Answer 4

A. y less than or equal to -2x + 3
y less than or equal to x + 3

B. y greater than or equal to -2x + 3
y greater than or equal to x + 3

C. y less than or equal to -3x + 2
y less than or equal to -x + 2

D. y > -2x + 3
y > x + 3

Answer 5

Well can you narrow down your choices since the lines are solid?

Answer 6

I guess it wouldnt be A or C

Answer 7

What do the solid lines mean?

Answer 8

i dont understand

Answer 9

Ok solid lines mean one thing and dashed lines mean another. What it is the difference?

Answer 10

the convention is to use solid (not dotted) lines when the border of the region is included in the solution, it correspond to \(\le\) or \(\ge\);
and dotted lines when it is \(<\) or \(>\).
Since the lines on the graph are solid, you can reject D.

Answer 11

ok thanks reemii I guess I'll let you take over from here, boss.

Answer 12

@reemii

Answer 13

Ok d is out now what

Answer 14

@Paynesdad ok
Find the equation of the lines that are on your graph.
Both lines are going through the point (0,2).
An equality can give you the equation of a line if you replace \(\le\) or \(\ge\) with =.
If a line in a system does not contain the point (0,2), you can reject the whole system.

test equations given by A's inequalities.
"y = -2x+3" does not contain (0,2) because 2 = -2.0 + 3 is not true.
-> reject A.

test B, and test C. you will see that you have to reject B and that C is ok.

Answer 15

My toes hurt from being stepped on!

Answer 16

Thank you so much @reemii thats what i needed an explination then answer thank you again

Answer 17

yw @shannon342
@Paynesdad ?