Consider the inequality [tex]-3x+3<6.[/tex]
First, add (-3) to both sides of inequality:
[tex]-3x+3+(-3)<6+(-3),\\ \\-3x+3-3<6-3,\\ \\-3x<3.[/tex]
Then multiply by (-1), remembering that multiplication by negative number changes the sign of inequality:
[tex]3x>-3.[/tex]
Now divide by 3:
[tex]x>-1.[/tex]
Answer: correct choice is A.