Let's solve the inequality step-by-step:
1. Start with the given inequality:
[tex]\[
-3x + 3 < 6
\][/tex]
2. Subtract 3 from both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
-3x + 3 - 3 < 6 - 3
\][/tex]
Simplifying this, we get:
[tex]\[
-3x < 3
\][/tex]
3. Now, divide both sides of the inequality by [tex]\(-3\)[/tex]. Remember, when dividing by a negative number, the direction of the inequality sign reverses:
[tex]\[
\frac{-3x}{-3} > \frac{3}{-3}
\][/tex]
Simplifying this, we get:
[tex]\[
x > -1
\][/tex]
So, the solution to the inequality is:
[tex]\[
x > -1
\][/tex]
