Question

|x/3+1|=6
A. {-7, 15}
B. {-21, 15}
C. {7, 15}
D. {-15, 21}

Answer 1

\[\large \left|\frac{x}3+1\right|=6\]

Answer 2

All this really means is that you have two equations to solve.
\[\Large \frac{x}3+1 = 6\]

and
\[\Large \frac{x}3+1 = -6\]

Answer 3

I just don't know how to do it with fractions exactly... @terenzreignz

Answer 4

Well then, you can always multiply everything by 3, thereby cancelling out the denominator.
\[\Large x + 3 = 18\]

and
\[\Large x+3 = -18\]

Answer 5

oh, right right. After that would I divide?

Answer 6

@terenzreignz

Answer 7

Not yet, you solve for x, on both equations.

Answer 8

would it be {15, -21}

Answer 9

Yes, indeed :)

Answer 10

YES! Thank you so much! :)

Answer 11

\[\left| \frac{ x }{3 }+1 \right|=6\]
\[\left| \frac{ x+3 }{3 } \right|=6,\left| x+3 \right|=18,x+3=\pm18\]
now you can solve the two equations.