SOLUTION: Find the absolute value: |3x+4|+11 = 4

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Question 252621: Find the absolute value:
|3x+4|+11 = 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%283x%2B4%29%2B11=4 Start with the given equation


abs%283x%2B4%29=-7 Subtract 11 from both sides.


Since the expression abs%283x%2B4%29=-7 is NEVER true (note: remember, the absolute value of any number is always positive), there are no solutions to abs%283x%2B4%29=-7

Also, notice if we graph y=abs%283x%2B4%29%2B11 and y=4(just set each side equal to y and graph), we get:

graph%28500%2C500%2C-10%2C10%2C-5%2C15%2Cabs%283x%2B4%29%2B11%2C4%29 Graph of y=abs%283x%2B4%29%2B11 (red) and y=4(green)

and we can see that the two graphs never intersect. So there are no solutions.