Question

Solve for x: −3x + 3 < 6
x > −1
x < −1
x < −3
x > −3

Answer 1

Consider the inequality
`-3x+3<6.`

First, add (-3) to both sides of inequality:

`-3x+3+(-3)<6+(-3),\\ \\-3x+3-3<6-3,\\ \\-3x<3.`

Then multiply by (-1), remembering that multiplication by negative number changes the sign of inequality:

`3x>-3.`

Now divide by 3:

`x>-1.`

Answer: correct choice is A.