Question

Write inequality for the graph

Answer 1

can you find the equations of the two lines that box in the shaded area?

Answer 2

i dont know how to do that either lol

Answer 3

hmmm... let me think which way I should teach to help u best! ^_^

Answer 4

please!

Answer 5

do you feel like you know what an inequality is?

Answer 6

yes

Answer 7

will the answer look like this:
___ < x < ___
or this
___ < y < ____
?

Answer 8

first one?

Answer 9

close! normally it would be the first one if we were using a number line, buut we have a graph, so it will be the second one ^_^

Answer 10

ohhhhhh ok

Answer 11

so we know that the answer will look like ____ < y < ______
so we need to figure out what goes into the blanks.
that is where we have to figure out the equation of the line.
I'll show you how to do the first blank and then you can copy cat what I did, and you can do the second blank ^_^

Answer 12

OKay Sounds great!

Answer 13

so for my part, i'm doing the line on the left.
the line on the left crosses through the y-axis at 6, do you see it?

Answer 14

Yes i do

Answer 15

so i'm going to use that 6 as a point,
at that point, i know y =6 and x=0,
so I can write it as
(0,6)

I'm now also going to use the point (5,1)

Answer 16

I need to find the equation of that line with the two points (0,6) and (5,1)
the standard form of a line equation is y=mx+b
I have an x and i have a y, but I need a b and an m.
m = rise/run, so if i go from point (0,6) to point (5,1) I rise -5 and run 5, so my slope m = -5/5
=-1
m = -1

Answer 17

so now I had
y = mx+b
but now I have
y = -1x+b
b is equal to the value of y, when x=0.
we know y=6 when x = 0 becuase of our point (0,6)
so we had
y = -1x+b but now we have
y = -1x+6
-1x+6 = y
sooo
we had
______ < y < _____
now we have
-1x+6 < y < ______

make sense?
can you do the other line?

Answer 18

here is a hint:

Answer 19

Thankyou so much! youre a life saver