graph the inequality |x-1| = 7

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graph the inequality |x-1| = 7

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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that's kinda difficult
i know haha

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but i wanna say b or d
can you by any chance have someone around you check it lol
\[\left| x-1 \right|=7 \Rightarrow x-1 = ???\] what does x-1 have to be? (Hint: it can be more than one value)
think of it like this...\[\left| \,\,\,\,\,\, \right|=7\]what values can be inside?
Given equation isn't an inequality
im confused ...
crosscheck it @adajiamcneal
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
well, similarly: if \[\left| \,\,\,\, \right|>7\]what values are possible inside? do you understand absolute values?
yeah i understand them arent they always poitive
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 :)
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?
yess thank you both :)

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