SOLUTION: This is from Dr. Rapalje's Intermediate Algebra book. Page 81, #8 Solve the inequality. Give answer in interval notation. -8 - 3(X - 4) < 3(6 - X) I ended up with x < 14

Algebra ->  Algebra  -> Inequalities -> SOLUTION: This is from Dr. Rapalje's Intermediate Algebra book. Page 81, #8 Solve the inequality. Give answer in interval notation. -8 - 3(X - 4) < 3(6 - X) I ended up with x < 14       Log On

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Question 39024: This is from Dr. Rapalje's Intermediate Algebra book. Page 81, #8
Solve the inequality. Give answer in interval notation.
-8 - 3(X - 4) < 3(6 - X)
I ended up with x < 14
The answer is (-oo, oo)
I have no idea how he came up with that answer. Thanks!
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
From -8 - 3(X - 4) < 3(6 - X)
let us multiply everything out first and get
-8 - 3x + 12 < 18 - 3x
now combine
4 - 3x < 18 - 3x
Now add 3x to both sides and get
4 < 18
Now ask yourself, "For what values of x is 4 less than 18?"
Well, all of them. That's why the answer in interval notation is
(-oo, oo) .