Both the AND function and nested if statements can be used to accomplish this.
To compare the values, you will use the and(statement1,statement2) operator, for instance: value>5,value<10
If the condition is false, add another if statement to check for more results. Use this in the if(condition,ifTrueValue,ifFalseValue).
You can use the following function in the cell you want the result in
=IF(AND(B9>5,B9<=10),C9,IF(AND(B9>10,B9<=15),C9+D9,IF(B9>15,C9+D9+E9,0)))