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Mathematics 7 Online
OpenStudy (anonymous):

Give the inequality to the graph below. Using complete sentences, explain the method and math used to create the inequality.

OpenStudy (anonymous):

OpenStudy (anonymous):

@starbelly

jimthompson5910 (jim_thompson5910):

what is the equation of the boundary line?

OpenStudy (anonymous):

i don't know how to ge tit

jimthompson5910 (jim_thompson5910):

what kind of equation does it look like, like what type

OpenStudy (anonymous):

get it

OpenStudy (anonymous):

that is the question

OpenStudy (anonymous):

that is all it says, with teh graph

jimthompson5910 (jim_thompson5910):

is it linear? quadratic? cubic? exponential? absolute value? logarithmic? or something else?

OpenStudy (anonymous):

something else

jimthompson5910 (jim_thompson5910):

you sure?

OpenStudy (anonymous):

i don't know, what i wrote above is the whole question with the graph

jimthompson5910 (jim_thompson5910):

the graph is v-shaped, so that's a big hint

OpenStudy (anonymous):

linear

OpenStudy (anonymous):

absolute value

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

what is the vertex of this absolute value graph

OpenStudy (anonymous):

(-3,-3)

jimthompson5910 (jim_thompson5910):

so the equation of the boundary line is y = - | x + 3 | - 3 notice that the value of 'a' is negative 1 because the entire graph is flipped upside-down

OpenStudy (anonymous):

so is that the answer

jimthompson5910 (jim_thompson5910):

no

OpenStudy (anonymous):

what is the next step

jimthompson5910 (jim_thompson5910):

the boundary line is dashed, and you are shading down so y = - | x + 3 | - 3 turns into what?

OpenStudy (anonymous):

i don't know

jimthompson5910 (jim_thompson5910):

y > .... means you shade up y < .... means you shade down

OpenStudy (anonymous):

Y<-|x+3|-3

jimthompson5910 (jim_thompson5910):

you got it

OpenStudy (anonymous):

so that is the inequailty

OpenStudy (anonymous):

is it or isn't it

jimthompson5910 (jim_thompson5910):

yes that's the inequality

jimthompson5910 (jim_thompson5910):

which is why I said "you got it"

OpenStudy (anonymous):

ok thanks, i know the method and the math used,

OpenStudy (anonymous):

i didn't know if there was more

OpenStudy (anonymous):

Thank you, sooooooo much

jimthompson5910 (jim_thompson5910):

yw

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