Answer to Question #266726 in Algebra for george

Question

Find a number that provides a counterexample to show that the given statement is false: For

all numbers x, |x + 3| = |x| + 3

Answer 1

For example, $x=-1.$

So, $|x+3|=|-1+3|=2,$ $|x|+3=|-1|+3=4.$