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Find all $c$ such that $|c + 5| - 3|c + 7| = 10 + 2|c - 8|.$ Enter all the solutions, separated by commas.

 May 23, 2024
 #1
avatar+129512 
+1

There is a (messy) algebraic solution, but a graph works better

 

The left hand side is  represented by the lower graph and the right hand  side is  represented by the upper graph..

 

The graphs do not intersect, so there is no "c"  that makes the two sides of the equations equal....

 

cool cool cool

 May 23, 2024

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