jessiegonzales
  • jessiegonzales
MEDAL! 16. Solve the inequality. Graph the solution. l2x+7l<27
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
Rule: |x| < k turns into -k < x < k where k is some positive number
jim_thompson5910
  • jim_thompson5910
use that rule to go from this l2x+7l<27 to this -27 < 2x + 7 < 27 then solve for x

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More answers

jessiegonzales
  • jessiegonzales
-27<2x+7<27 -1 -1 Am I on the right track?
jim_thompson5910
  • jim_thompson5910
you subtract 7 (not 1) from all sides
jim_thompson5910
  • jim_thompson5910
|dw:1434962327834:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434962353834:dw|
jessiegonzales
  • jessiegonzales
-20<2x
jim_thompson5910
  • jim_thompson5910
do you see my second drawing?
jessiegonzales
  • jessiegonzales
yes
jim_thompson5910
  • jim_thompson5910
|dw:1434962462493:dw|
jim_thompson5910
  • jim_thompson5910
oops I made a typo
jessiegonzales
  • jessiegonzales
yes i know
jim_thompson5910
  • jim_thompson5910
it's 27 not just 7 |dw:1434962492297:dw|
jessiegonzales
  • jessiegonzales
-20<2x<20
jim_thompson5910
  • jim_thompson5910
close
jim_thompson5910
  • jim_thompson5910
|dw:1434962558605:dw|
jessiegonzales
  • jessiegonzales
-20>2x<20
jim_thompson5910
  • jim_thompson5910
-27 - 7 = -34
jim_thompson5910
  • jim_thompson5910
think of it as 27+7, then make the result negative
jessiegonzales
  • jessiegonzales
how did you get that??
jessiegonzales
  • jessiegonzales
oh now i see
jim_thompson5910
  • jim_thompson5910
or you can think of it as debt 27 IOUs plus 7 IOUs = 34 IOUs
jim_thompson5910
  • jim_thompson5910
so you should have this |dw:1434962719551:dw|
jim_thompson5910
  • jim_thompson5910
what comes next?
jessiegonzales
  • jessiegonzales
final answer -34
jim_thompson5910
  • jim_thompson5910
no
jessiegonzales
  • jessiegonzales
oh. we get x alone?
jim_thompson5910
  • jim_thompson5910
|dw:1434962824034:dw|
jim_thompson5910
  • jim_thompson5910
yes you need to get x all by itself
jessiegonzales
  • jessiegonzales
-17
jim_thompson5910
  • jim_thompson5910
correct
jessiegonzales
  • jessiegonzales
thankyou soo much
jim_thompson5910
  • jim_thompson5910
you're welcome

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