SOLUTION: I am having trouble solving: 100+x less than or equal 41- 6x less than or equal 121+x I subtracted 41 from everything and got: 59+x less than or equal -6x less than or equal 80+x

Algebra ->  Inequalities -> SOLUTION: I am having trouble solving: 100+x less than or equal 41- 6x less than or equal 121+x I subtracted 41 from everything and got: 59+x less than or equal -6x less than or equal 80+x      Log On


   



Question 751356: I am having trouble solving: 100+x less than or equal 41- 6x less than or equal 121+x
I subtracted 41 from everything and got: 59+x less than or equal -6x less than or equal 80+x
after that I am stumped. Any help would be appreciated. Thank you.

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am having trouble solving: 100+x less than or equal 41- 6x less than or equal 121+x
=================
100+x <= 41-6x and 41-6x <= 121+x
-----
7x <= -59 and 7x >= -80
-----
x <= -59/7 and x >= -80/7
-----
-80/7 <= x <= -59/7
======
Cheers,
Stan H.
==============

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
100%2Bx%3C=41-6x+%3C=121%2Bx.....add -x to all

100%2Bx-x%3C=41-6x-x+%3C=121%2Bx-x
100%2Bcross%28x%29-cross%28x%29%3C=41-6x-x+%3C=121%2Bcross%28x%29-cross%28x%29

100%3C=41-6x-x+%3C=121....add -41 to all

100-41%3C=41-41-7x+%3C=121-41

59%3C=cross%2841%29-cross%2841%29-7x+%3C=80

59%3C=-7x+%3C=80....divide all by 7

59%2F7%3C=-7x%2F7+%3C=80%2F7....multiply all by -1

-59%2F7%3C=x+%3C=-80%2F7
or
-8.43%3C=x+%3C=-11.43