CPM Homework Help : CCA2 Problem 7-42

Solve $| x + 5 | = | x | - 5$ by graphing. Express your solution algebraically.

Hint:

Blue Upward V graph, vertex at (0, comma negative 5), with points at (negative 5, comma 0), & (5, comma 0). Red Increasing ray, starting at (negative 5, comma 0), passing through (0, comma 5).

More Help:

The solution is the value of $x$ that makes both of these equations true. Where do the graphs overlap?

Answer:

$x ≤ −5$