Answer:
[tex]\boxed {x \geq 7}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]3x + 12 - 6x \leq -9[/tex]
-Combine both [tex]3x[/tex] and [tex]-6x[/tex]:
[tex]3x + 12 - 6x \leq -9[/tex]
[tex]-3x + 12 \leq -9[/tex]
-Subtract both sides by [tex]12[/tex]:
[tex]-3x + 12 - 12 \leq -9 - 12[/tex]
[tex]-3x \leq -21[/tex]
-When you are dividing an integer by a negative integer, the inequality sign would change. So, divide both sides by [tex]-3[/tex]:
[tex]\frac{-3x}{-3} \leq \frac{-21}{-3}[/tex]
[tex]\boxed {x \geq 7}[/tex] (Final Answer)
