Respuesta :

[tex]x-2 \leq 4 [/tex]

or

[tex]x-2 \geq 9[/tex]

The value of the number from the given statement is required.

The interval notation is [tex]x\in (-\infty,6],[11,\infty)[/tex]

Let [tex]x[/tex] be the given number

so, it is decreased by 2

[tex]x-2[/tex]

It is less than or equal to [tex]4[/tex]

[tex]x-2\leq 4\\\Rightarrow x\leq 6[/tex]

Or it is greater than or equal to [tex]9[/tex]

[tex]x-2\geq 9\\\Rightarrow x\geq 11[/tex]

The interval notation is [tex]x\in (-\infty,6],[11,\infty)[/tex]

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