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

Question 252621: Find the absolute value:
|3x+4|+11 = 4

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Subtract 11 from both sides.

Since the expression is NEVER true (note: remember, the absolute value of any number is always positive), there are no solutions to

Also, notice if we graph and (just set each side equal to y and graph), we get:

Graph of (red) and (green)

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

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