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-8(11n + 6) + 6(8 + 5n) > 2n + n

 Mar 16, 2017
 #1
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This is a special type of question:

f(x)

what you have to in those questions is subtract f(x) from both sides and see when 0

 

you probably dont know what im talking about by now, so ill give you an example (The example you wrote here):

 

-8(11*x+6)+6(8+5x)=g(x)

2*x+x=3*x=f(x)

g(x)-f(x)=-8(11*x+6)+6(8+5x)-3*x=-88*x-48+48+30x-3*x=27*x-88*x=-61*x>0 add 61*x to both sides and get....

0>61*x divide both sides by 61

0>x

and thats the answer

heres another way to think about it:

 

if x multiplied by a negative number is bigger than 0 then it means x is a negative number.

 

why? because if 0 is multiplied by a negative number we get 0 (and 0 is not bigger than 0). if we multiply a positive number by a negative number we get a negative number (and no negative number is bigger than 0)

 

if we multiply a negative number by a negative number we get a positive number. positive numbers are bigger than 0 and thats what we need.

 Mar 26, 2017

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