An inequality is a statement that shows relation between two values, when the two values are not equal. The inequality is opposite than equality. So, the interval (5,100] means that it contains all number from number 5 (not and 5) till 100, including 100. We can see this from the bracket's type. For a value x in this interval we can write the inequality: 5<x<=100 x is bigger than 5 , and smaller or equal 100