#### Answer

All numbers greater than 7 satisfy this relationship. The solution set is {x|x $\gt$ 7 } , or (7,$\infty$) in interval notation.

#### Work Step by Step

Let x represent the numbers that satisfy this relationship.
Three times a number means 3x.
Five more than three times a number means 5 + 3x.
Is greater than 26 means $\gt$ 26.
So, we need to solve 5 + 3x $\gt$ 26
5 + 3x $\gt$ 26
3x $\gt$ 21
Divide both sides by 3.
x $\gt$ 7
All numbers greater than 7 satisfy this relationship. The solution set is {x|x $\gt$ 7 } , or (7,$\infty$) in interval notation.