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SOLVE. Graph and write both set-builder notation and interval notation

SOLVE Graph And Write Both Setbuilder Notation And Interval Notation class=

Sagot :

First let's solve the inequation by isolating the variable x:

[tex]\begin{gathered} 2x\le x-9 \\ 2x-x\le-9 \\ x\le-9 \end{gathered}[/tex]

Now, writing the solution in the set-builder notation, we have:

[tex]\mleft\lbrace x\mright|x\le-9\}[/tex]

{x | x ≤ -9}

In the interval notation, we have:

[tex](\infty,-9\rbrack[/tex]

Outside editor: (∞, -9]