x - 2 = 9 What is one possible solution to the given equation?

The correct answer is $11$ or $-7$. By the definition of absolute value, if $\left.x-2\right|=9$, then $x-2=9$ or $x-2=-9$. Adding $2$ to both sides of the equation $x-2=9$ yields $x=11$. Adding $2$ to both sides of the equation $x-2=-9$ yields $x=-7$. Thus, the given equation, $\left.x-2\right|=9$, has two possible solutions, $11$ and $-7$. Note that 11 and -7 are examples of ways to enter a correct answer.