Hii!
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[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
x>-6
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
Let's find the value of x in this inequality!
Remember, to find the value of a variable, we need to get that variable all by itself on one side of the equation.
Here all we need to do is divide both sides by -6.
[tex]\twoheadrightarrow\sf -6x\div(-6) < 36\div(-6)[/tex]
[tex]\bullet[/tex] Simplify
[tex]\twoheadrightarrow\sf x > -6[/tex]
[tex]\bullet[/tex] Note that the inequaiity sign changed. This happens everytime we divide, or multiply, both sides by a negative variable.
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[tex]\therefore, the\;answer\;is:\\\\\twoheadrightarrow\sf x > -6[/tex]
[tex]\bullet[/tex] Great job! We solved the inequality.
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Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
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