## adajiamcneal one year ago graph the inequality |x-1| = 7

2. anonymous

that's kinda difficult

i know haha

4. anonymous

but i wanna say b or d

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

6. anonymous

$\left| x-1 \right|=7 \Rightarrow x-1 = ???$ what does x-1 have to be? (Hint: it can be more than one value)

7. anonymous

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

8. disqin

Given equation isn't an inequality

im confused ...

10. disqin

11. anonymous

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

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

13. anonymous

well, similarly: if $\left| \,\,\,\, \right|>7$what values are possible inside? do you understand absolute values?

yeah i understand them arent they always poitive

15. disqin

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!

ohhhhhhh i get it noww ok thank you :)

17. anonymous

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?