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Answer :

Answer:

[tex]x>-6[/tex]

Step-by-step explanation:

[tex]-4x-12<12[/tex]

[tex]-4x-12+12<12+12[/tex] (Add [tex]12[/tex] to both sides of the inequality to isolate [tex]x[/tex])

[tex]-4x<24[/tex] (Simplify)

[tex]\frac{-4x}{-4}<\frac{24}{-4}[/tex] (Divide both sides of the inequality by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x>-6[/tex] (Simplify, don't forget to flip the sign of the inequality when multiplying or dividing by a negative number)

Hope this helps!