Respuesta :
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).
x is all real numbers greater than 1 but less than or equal to 9
Interval notation is
(1,9]
Given :
x is all real numbers greater than 1 but less than or equal to 9
We need to write the given in interval notation
First we write the given statement in inequality form
x is all real numbers greater than 1 but less than or equal to 9
x lies between 1 and 9
So the inequality is [tex]1<x<=9[/tex]
Now we write it in interval notation
for < or > symbol we use open parenthesis
for <= or >= symbol we use square brackets
[tex]1<x<=9[/tex]
Interval notation is
(1,9]
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