To solve for <em>x</em> in the inequality 10 + x > 23, our goal is the same as it would be if we were solving an equation, to get <em>x</em> by itself on one side.
Since we have 10 + x, in order to get <em>x</em> by itself, we subtract
10 from both sides of the inequality to get <em>x > 13</em>.
Finally, make sure to write your answer in set notation
which we can write as {x : x > 13}.
It's important to understand that this solution set means that any number greater than 13 is a solution to this inequality.
For example, 14, 15, 67, 103, 642,000 and so on are all solutions.