What is the solution of x-7>1?

Answer: x > 8

Step-by-step explanation: To solve the inequality x - 7 > 1, our goal is the same as it would be if we were solving an equation, to get x by itself on one side.

So here, since 7 is being subtracted from x, we need to add 7 to both sides of the inequality to get x > 8. We then write our answer in set notation, as the set of all x's such that x > 8, shown below.

{x : x > 8}

It's important to understand that this solution set means that any number greater than 8 is a solution to this inequality.

For example, 9, 10, 28, 872, 642,000, and so on

are all solutions to this inequality.