Question

Choose the graph below that represents the following system of inequalities.

y greater than or equal to -3x + 1

y greater than or equal to 1 over 2x + 3

Answer 1

first of all, both lines should be graphed. Also, because there is greater than or equal to, the lines in the graphs must be solid, not dotted

Answer 2

first of all when you graph the lines, you graph them according to the slope intercept form. THat means that the slope is graphed by Rise over run

Answer 3

In all the graphs the line is solid

Answer 4

awesome :P so then we graph the points. Also, observe how the shading goes up when the line is greater or equal to

Answer 5

i thought it would be a but im not so sure

Answer 6

If I understand the problem correctly,
\(y\ge-3x+1\)
\(y\ge\frac{1}{2}x+3\)

Answer 7

ist this right @shannon342 ??

Answer 8

Yes it is

Answer 9

awesome is suggest looking at the y-intercepts first to see where the slopes go through the axis's

Answer 10

hint: the y-intercepts are 1 and 3 in this example

Answer 11

however it looks like all the choices fill this criteria, so we look at the slope next

Answer 12

all the slopes also fill the criteria, so now we look at the shading

Answer 13

shading should go up for both lines

Answer 14

because of \(\ge\)

Answer 15

i dont understand

Answer 16

therefor, to fill this criteria, the first choice would be correct. Does that make sense @shannon342 ?

Answer 17

oohh so i was right thank you so much