anonymous
  • anonymous
solve absolute value inequality. 4|x-7|-6≤14
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
4|x-7|-6≤14 4|x-7|≤20 |x-7| <= 5 x-7<= 5 or x-7<= -5 x<=12 or x<=2
anonymous
  • anonymous
how did you get 20?
anonymous
  • anonymous
4|x-7|-6≤14 add 6 to both sides 4|x-7|≤20

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
devide both sides by 4 |x-7| <= 5
anonymous
  • anonymous
why do you divide by 4?
anonymous
  • anonymous
cuz i see 4|x-7|≤20 and i want to isolate x eventually therfore im interested in |x-7| on the left side.
anonymous
  • anonymous
i have 4 * |x-7| on the left side...im only interested in |x-7| so i hav to devide the left side by 4...since we devide the left side by 4, we HAVE to devide the right side by 4
anonymous
  • anonymous
ok, i see. how did you get x-7≤ 5 or x-7≤ -5? how'd you get the -5?
anonymous
  • anonymous
by definition, if |x| = A x = A or x = -A
anonymous
  • anonymous
cuz when u take the absolute value of A, it is A and when u take the absolute value of -A, it is A This 'A' can be any real number
anonymous
  • anonymous
so theres two answers then? x≤12 and x≤2
anonymous
  • anonymous
yes. x≤12 OR x≤2
anonymous
  • anonymous
ok, if i was to graph the solution, how would i?
anonymous
  • anonymous
anonymous
  • anonymous
i drew a line at x=2, the red vertival line..and just shaded the area (that is left side in this case) x<=2
anonymous
  • anonymous
do the same for x<=12 draw a line at x=12, and shade the less than area, that is left side
anonymous
  • anonymous
ok, i see. thank you.
anonymous
  • anonymous
I think that is wrong^ :|
anonymous
  • anonymous
|x-7|<=5 -5<= (x-7) <= 5 2<= x <= 12 CORRECT that is different from the other person answer
anonymous
  • anonymous
also, if the answer was x<=12 or x<=2 then you would merge both the solutions to just x<=12, bec ause that is where they both hold, BUT REMEMBER THAT ANSWER IS INCORRECT , corrrect answer is above
anonymous
  • anonymous
EDIT: you would merge them to x<=2
anonymous
  • anonymous
thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.