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Mathematics 16 Online
OpenStudy (jessiegonzales):

Medal!!!! 17. Which graph best represents the following expression? lx-1l>2

OpenStudy (jessiegonzales):

OpenStudy (jessiegonzales):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

|x-1| > 2 expands into these two inequalities x-1 > 2 or x - 1 < -2

jimthompson5910 (jim_thompson5910):

what do you get when you solve x-1 > 2 for x?

OpenStudy (jessiegonzales):

4?

jimthompson5910 (jim_thompson5910):

close, x > 3 do you see how to get that?

OpenStudy (jessiegonzales):

oh yes i see

jimthompson5910 (jim_thompson5910):

you add 1 to both sides

jimthompson5910 (jim_thompson5910):

do the same for x - 1 < -2

OpenStudy (jessiegonzales):

x<-1

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

so we have x > 3 and x < -1

OpenStudy (jessiegonzales):

OpenStudy (jessiegonzales):

my answer

jimthompson5910 (jim_thompson5910):

that graph is -1 < x < 3

OpenStudy (jessiegonzales):

yes

jimthompson5910 (jim_thompson5910):

the shaded portion is anything between -1 and 3

jimthompson5910 (jim_thompson5910):

but the solution is actually x < -1 or x > 3

jimthompson5910 (jim_thompson5910):

different from -1 < x < 3

OpenStudy (jessiegonzales):

so do u think it would be this option

OpenStudy (jessiegonzales):

jimthompson5910 (jim_thompson5910):

draw a number line |dw:1434963948218:dw|

jimthompson5910 (jim_thompson5910):

plot x < -1 |dw:1434963979172:dw|

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