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Mathematics 17 Online
OpenStudy (anonymous):

What are the solutions of the equation? Graph and check the solutions. | x | + 10 = 1

OpenStudy (shayaan_mustafa):

there are two solutions of this equation

OpenStudy (anonymous):

what are they

OpenStudy (shayaan_mustafa):

do you know how to open modulus?

OpenStudy (anonymous):

x = 9 or x = –9 i think its this

OpenStudy (anonymous):

and no

OpenStudy (shayaan_mustafa):

yes it is.

OpenStudy (anonymous):

i had it right and i change cause i second guess myself

OpenStudy (shayaan_mustafa):

now can you plot the graph?

OpenStudy (anonymous):

yes and thanks for helping me

OpenStudy (shayaan_mustafa):

welcome friend.

OpenStudy (anonymous):

wait... | x | + 10 = 1 has no solution because this would mean | x | = -9. there is no x that will make this true.

OpenStudy (shayaan_mustafa):

@dplnc take it as a function and plot it. like this.|dw:1334173886818:dw|

OpenStudy (shayaan_mustafa):

graph of |x| is |dw:1334173955493:dw| and in the question it is +9 this means graph is shifted 9 units up.

OpenStudy (anonymous):

the graph of f(x) = |x| + 9 is that graph you posted. but the question is: "what is the solution to | x | + 10 = 1"

OpenStudy (shayaan_mustafa):

yeah.. and there will be two solution to this equation as i said above. when we open mod then we write it with - and + so function will give two solution but for both of them y will always be positive . as it is a piecewise function (|x|)

OpenStudy (anonymous):

|dw:1334174134328:dw| notice the graph of y=|x|+10 and y=1 are shown.... finding the solution to | x | + 10 = 1 means where do these two graphs intersect. they don't.... so no solution...

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