## Algebra 1

The following counterexample shows that the inequality is not true for all real numbers. Let x=2 and let y=-3. $x+y\gt x-y\longrightarrow$ substitute the given values $2+(-3)\overset?\gt 2-(-3)\longrightarrow$ simplify $-1\ /\!\!\!\!\!\gt5$ When y is negative, the inequality is not true.