How would you write the following in interval notation:

x is all real numbers greater than 1 but less than or equal to 9?

Answer: x = (1,9]

Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols:. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn't write this notation as [9,1).