SOLUTION: I've just stared on inequalities I need help on this :x-4-2(x+4)<0. Thank you!

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Question 18402: I've just stared on inequalities I need help on this :x-4-2(x+4)<0. Thank you!

Answer by MelanieBCC(40) About Me  (Show Source):
You can put this solution on YOUR website!
the thing to remember is that as long as there are no negative numbers being divided (dividing by a negative number causes the sign to flip), you can treat an inequality sign the same way you would an equal sign to get to the solution. So, you want to get all the constants to one side and the variable to the other...
x-4-2%28x%2B4%29%3C0
first, distribute to get rid of the parenthesis:
2%28x%2B4%29 so x-4-2x-8%3C0
then gather like terms:
%28x-2x%29=x and -4-8=-12
so -x-12%3C0
now just re-arrange things:
subtracting x from each side gives you -12%3Cx
but most instructors like the variable to be to the left, so we write
x%3E-12