Question

@Phi I think this is D

Answer 1

The graph below represents which system of inequalities?

graph of two intersecting lines. One line is solid, and goes through the points (0, negative 2) and (1, 0) and is shaded in below the line. The other line is dashed, and goes through the points (0, 3) (3, 0) and is shaded in above the line.

y > 2x - 3
y > -x - 3
y < 2x - 2
y < -x + 3
y less than or greater to 2x - 2
y > -x + 3
None of the above

Answer 2

@phi

Answer 3

do you know the slope of
One line is solid, and goes through the points (0, -2) and (1, 0)
?

Answer 4

d as none of the above.

Answer 5

I would have to figure it out... so why don't you figure it out and I'll check your steps as we go along.
what is the slope of the line through (0, -2) and (1, 0) ?
you could look at the graph and count how much up and the how much over to get from one point to another on the graph. or do change in y divided by change in x

either way, what is the slope ?

Answer 6

it is x2-y2/x1/y1=m right

Answer 7

x1-y1

Answer 8

(y2- y1) / (x2-x1)

the top is the y's

Answer 9

why can't i use desmos like i did it is easier

Answer 10

please hurry up i want to go to the beach but my mom is making em do my homework and i need help so...

Answer 11

because you really should be trying to get the idea.
put your finger on the point (0,-2)
now move straight up until you reach the same "height" as the point (1,0)
how many steps up do you have to go ?

Answer 12

2

Answer 13

the 2 up is the change in y
now how far do you move to the right to get to (1,0) ? 1 step
that is change in x

2/1 is the slope

Answer 14

so 2 is the slope ok

Answer 15

next, you should know the y-intercept is (0,-2) (it's the point on the line that cross the y-axis). the y-intercept is -2

the line has equation y= mx +b
m is 2, b is -2 (b is the y-intercept)

Answer 16

the inequality use <, or \( \le \) , or \( \ge\), or >

any idea which we should use if the line is solid, and y is below (smaller than) the line's y ?

Answer 17

> or< is when dashed the other is when solid

Answer 18

ok.

and here you want y below the line, which means y less than the line
you write
y and then put the "small end" of the < sign next to the y , and the "big" end next to the "bigger" thing, the line in this case.
and we use <= because it's a solid line
\[ y \le 2x-2 \]

Answer 19

your last choice says
y less than or greater to 2x - 2 y > -x + 3

you can't have something both less than and also bigger than
can you be taller than your brother and shorter than your brother ?

Answer 20

no

Answer 21

that would be really weird and not possible

Answer 22

does it really say
y less than or greater to 2x - 2

Answer 23

yes

Answer 24

y > 2x - 3
y > -x - 3
y < 2x - 2
y < -x + 3
y less than or greater to 2x - 2
y > -x + 3
None of the above

Answer 25

it is d then

Answer 26

we know we need a \( \le\) and none of those choices have that.
If the last choice is a typo, and they *meant*
\[ y \le 2x-2 \]
that matches one of the lines.

and the other line is y >-x+3 which also matches

so it's either (d) none of the above,
or (c ) and there is a typo in the answer.

Answer 27

that is what c is supposed to be @phi

Answer 28

ok, then it's none of the above.

Answer 29

ok thank you so much do you mind helping me with a few more( i will post on another tab)

Answer 30

@phi