f4h6 wrote:

|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 < 5After 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

exactly as you written? Does it say "which of the following is x value"?