Question

Solution set of -3x + 9 < 3?

Answer 1

The solution to the inequality is;

`\begin{gathered} x>2 \\ x=(2,\infty) \end{gathered}`

Step-by-step explanation:

Given the inequality;

`-3x+9<3`

to solve the inequality, firstly, let's subtract 9 from both sides;

`\begin{gathered} -3x+9-9<3-9 \\ -3x<-6 \end{gathered}`

Then we can now divide both sides by -3. (note that dividing by a negative number will affect the inequality sign);

`\begin{gathered} (-3x)/(-3)>(-6)/(-3) \\ x>2 \end{gathered}`

Therefore, the solution to the inequality is;

`\begin{gathered} x>2 \\ x=(2,\infty) \end{gathered}`