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Mathematics 16 Online
OpenStudy (jazzyfa30):

|2x +3| -6 = 11

OpenStudy (anonymous):

\[|2x+3|=17\]Then solve the two equations:\[2x+3=17\]and\[-2x-3=17\]

OpenStudy (anonymous):

Just like the other problem: \[|2x+3|-6=11 \iff |2x+3|=17\]\[2x+3=17\]\[2x=14 \iff x = 7\]and\[2x+3=-17\]\[2x=-20 \iff x = -10\]Solutions: \[x=-10\]and\[x=7\]

OpenStudy (jazzyfa30):

x=10 and x=-7

OpenStudy (anonymous):

I got x=-10 and x=7...

OpenStudy (jazzyfa30):

so I just switch the signs on the answer

OpenStudy (jazzyfa30):

|4x + 2| + 6 =0 what about this one

OpenStudy (anonymous):

\[|4x+2|=-6\] It's impossible, because |n| will be always positive. So thats no solution.

OpenStudy (jazzyfa30):

okay and this one |4x +2| =6

OpenStudy (anonymous):

Same way as the first one. The two equations\[4x+2=6\]and\[4x+2=-6\]

OpenStudy (jazzyfa30):

x=1 and x=-2 right

OpenStudy (anonymous):

Yep!

OpenStudy (jazzyfa30):

1more: |3x | if x =-2

OpenStudy (anonymous):

Well, what is 3x if x=-2?

OpenStudy (jazzyfa30):

I think x=6

OpenStudy (anonymous):

|3(-2)|=|-6| And |-6|=6 So it is 6, though x =/= 6

OpenStudy (jazzyfa30):

so, I'm right wow I do know this stuff.

OpenStudy (anonymous):

That's ok; it takes a while.

OpenStudy (jazzyfa30):

2x -3 > 23 what about this I got 13

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