\(|3x+7| \geq{2x+12}\) which of the following is x value:
(A) \(x\leq{-\frac{19}{5}}\)
(B) \(x\geq{-\frac{19}{5}}\)
(C) \(x\leq{5}\)
(D) \(x\leq{-\frac{19}{5}}\) or \(x\geq{5}\)
(E) \(\frac{-19}{5} < x < 5\)
After solving the inequality I got the two answers X >=5 and X <= -19/5. but since this is an absolute question I checked each answer by plug in the two possible answers in the original equation and I found that x <= -19/5 is an erroneous value, so I chose answer choice (C) as the correct answer, but the book gives (D) as the correct answer. what I'm missing here
\(|3x+7| \geq{2x+12}\) is true when \(x \geq 5\) or \(x \leq \frac{19}{5}\). Which is option D.
P.S. Does the question is worded
as you written? Does it say "which of the following is x value"?