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Mathematics 21 Online
OpenStudy (anonymous):

Inequalities....please please help me I don't understand!

OpenStudy (anonymous):

is anyone here?

OpenStudy (anonymous):

I need to know which inequality matches the picture shown

OpenStudy (anonymous):

nanabenyin? I see that you're viewing my question. can you help me?

OpenStudy (anonymous):

hey?

OpenStudy (anonymous):

hi

OpenStudy (anonymous):

Whats the choices? That would help much

OpenStudy (anonymous):

can u see that there is a horizontal line drawn on the graph

OpenStudy (anonymous):

all of the little "<" ">" things have lines under them The possible answers are: x<-1 x>-1 y<-1 y>-1

OpenStudy (anonymous):

@Dandave09 yes

OpenStudy (anonymous):

desperado can u see a horizontal line drawn

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok now along that line the y coordinate is always -1 so we call that line y=-1. as the shading is done above that line where the y values are bigger. it is y > -1

OpenStudy (anonymous):

thank you sooo much! can you help me with a few more?

OpenStudy (anonymous):

go for it

OpenStudy (anonymous):

OpenStudy (anonymous):

it's basically the same thing here

OpenStudy (anonymous):

the answers could be: x>-3 x<-3 y>-3 y<-3 this time the "<" ">" signs don't have lines under them

OpenStudy (anonymous):

this time ist is vertical. so it is an x line. you can see every point on that line has an x coordinateof -3 so the line is x=-3. Now the shading is all the x values less than -3 as it is to the left. so x<-3

OpenStudy (anonymous):

thank you <3 ! you're a life saver!

OpenStudy (anonymous):

can you help me with two more? haha. I'm sorry if this is too much I'm trying to learn though?

OpenStudy (anonymous):

go on then try and tell me what you think the answer is

OpenStudy (anonymous):

OpenStudy (anonymous):

ok this one is a bit different though

OpenStudy (anonymous):

I think the answer is Y<3/2x+3 (The < has a little line under it)

OpenStudy (anonymous):

so in this case, how would we find the answer?

OpenStudy (anonymous):

ok first of all you need to find the equation of the line, can you do that

OpenStudy (anonymous):

what do you mean?

OpenStudy (anonymous):

in the graph there is a line yh, that seperates the shadings. so you find the gradient and y-intercept (y=mx+c)

OpenStudy (anonymous):

I love solving inequalities

OpenStudy (anonymous):

i wish i could but i honestly have no clue how to? lol

OpenStudy (anonymous):

The possible answers are: y<1/3x+3 y<3/2x+3 y>3/2x+3 the correct inequality is not listed both choice B and C have lines under the signs

OpenStudy (anonymous):

desperado you have to find the equation of the line. y=mx+c is the equation of the line. m is the gradient and c is the y-intercept. in ths graph 3 is the y intercept and the gradient is the change in y (3) divided by the change in x (2) so m=3/2 c=3 so y=3/2x+3. Now pick a point (0,0) for example so 0= 0+3 so 0 <3 so u know the enquality is that is that way round. then u pick a point which is on the line and if boths sdes are equal u put the line under th sign. I have to go, hope this helps

OpenStudy (anonymous):

thank you! you're brilliant! <3

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