SOLUTION: -6(1 + x) is less than or equal to x + 8 What is x?

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Question 1055569: -6(1 + x) is less than or equal to x + 8
What is x?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
-6%281%2Bx%29%3C=x%2B8
If you know how to solve simple equations, then you know how this inequality, since only little else to understand.

-6-x%3C=x%2B8

-6-x-x%3C=8

-6-2x-8%3C=0

-2x-14%3C=0

-x-7%3C=0
-x-7%2B7%3C=0%2B7
-x%3C=7
but another way to handle this is
-x-7%2Bx%3C=7-7%2Bx
highlight%28-7%3C=x%29 or just as well, highlight%28x%3E=-7%29.

Answer by ikleyn(52869) About Me  (Show Source):
You can put this solution on YOUR website!
.
-6(1 + x) is less than or equal to x + 8
What is x?
~~~~~~~~~~~~~~~~~~~~~~~

-6(1 + x) <= x + 8  --->

-6 - 6x <= x + 8  --->

-6 - 8 <= x + 6x  --->

-14 <= 7x  --->

x >= -2.

Answer.  x >= -2.  The solution set is  [-2,infinity).

Be aware: everything written by "gosgarithmetic" on this topic is wrong.
This person is mathematically illiterate.