Question

graph the inequality |x-1| = 7

Answer 1

that's kinda difficult

Answer 2

i know haha

Answer 3

but i wanna say b or d

Answer 4

can you by any chance have someone around you check it lol

Answer 5

\[\left| x-1 \right|=7 \Rightarrow x-1 = ???\]

what does x-1 have to be? (Hint: it can be more than one value)

Answer 6

think of it like this...\[\left| \,\,\,\,\,\, \right|=7\]what values can be inside?

Answer 7

Given equation isn't an inequality

Answer 8

im confused ...

Answer 9

crosscheck it @adajiamcneal

Answer 10

yeah, the equation you gave in the question doesn't match any of the responses... check your equation and write it correctly, please

Answer 11

haha the equal sign is suppose to be > my bad lol

Answer 12

well, similarly: if \[\left| \,\,\,\, \right|>7\]what values are possible inside?

do you understand absolute values?

Answer 13

yeah i understand them arent they always poitive

Answer 14

If \[|x-1|>7\]
\[\implies(x-1)>7\implies x>8 \ \ \ \ \ \ \ \ \ ......\mathrm{mark\ this}\] or\[\implies (x-1)<-7 \implies x<-6\ \ \ \ \ \ \ \ \ \ \ \ \ ...... \mathrm{and\ this}\]

Hence option B is right!

Answer 15

ohhhhhhh i get it noww ok thank you :)

Answer 16

absolute values are they same as distance... you're never a negative distance away from anything, only different directions.

i'm in san diego and la is about 100 miles north.... ensenada (a town in mexico) is about 100 miles south. they are the same distance but different directions.

it's the same with numbers. 7 is 7 away from 0. -7 is also 7 away from 0. so 7 and -7 are the same distance away from 0, but in different directions.

so when the equation |x-1|>7 it's asking what values are more than 7 away from x-1.

this implies that x-1 > 7 or x-1 < -7 because what ever is inside the absolute value signs has to be more than 7 (more than 7 miles north) or less than -7 (more than 7 miles south).

make sense?

Answer 17

yess thank you both :)