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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