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Answer:
The solution to the inequality is;
[tex]\begin{gathered} x>2 \\ x=(2,\infty) \end{gathered}[/tex]Explanation:
Given the inequality;
[tex]-3x+9<3[/tex]to solve the inequality, firstly, let's subtract 9 from both sides;
[tex]\begin{gathered} -3x+9-9<3-9 \\ -3x<-6 \end{gathered}[/tex]Then we can now divide both sides by -3. (note that dividing by a negative number will affect the inequality sign);
[tex]\begin{gathered} \frac{-3x}{-3}>\frac{-6}{-3} \\ x>2 \end{gathered}[/tex]Therefore, the solution to the inequality is;
[tex]\begin{gathered} x>2 \\ x=(2,\infty) \end{gathered}[/tex]