Question

Solve the inequality. Express your answer using interval notation.
\[\left| 7k-7 \right|-2<6\]

Answer 1

my answer: (-15/7,1/7)

Answer 2

am i wrong ?

Answer 3

cause the closest answer is : (-1/7,15/7) .....?

Answer 4

A)\[(-\frac{ 1 }{ 7 },\frac{ 15 }{ 7 })\]

B)
\[(-\infty, -1/7)\]
C)
\[(-\infty, -1/7)U\frac{ 15 }{ 7 }\]
D)
\[(-\infty,\frac{ 15 }{ 7 })\]

Answer 5

IS IT A? anyone could walk me through ?

Answer 6

| 7k-7 | -2 < 6 this is your exercise ?

Answer 7

like a first step add to both sides 2 and will get

|7k-7| < 8 yes ?

Answer 8

`my answer: (-15/7,1/7)`
@rock_mit182 you mixed up the signs somehow

Answer 9

yeah, my mystake was add -7 on both sides instead of adding 7 on both sides

Answer 10

anyway thanks to all of you!

Answer 11

for example you need to know that

|x| = x for x >=0 and
-x for x < 0

Answer 12

i appreciate your help!

Answer 13

was my pleasure

good luck

bye bye