## anonymous one year ago Solve for x: −3x + 3 < 6

1. UsukiDoll

the equation is just $\large -3x+3 <6$ right ?

2. anonymous

yes

3. UsukiDoll

ok solving an inequality is the same process as solving a regular equation. The only difference is that if we are dividing by a negative number, then the inequality sign switches.

4. UsukiDoll

so first subtract 3 on both sides

5. UsukiDoll

6. anonymous

okay i got 3 subracting it from 6. crossed out 3 - 3

7. UsukiDoll

$\large -3x+3 <6$ $\large -3x+3-3 <6-3$ $\large -3x <3$ ok good so far now divide by -3 on both sides and since we have a negative number, switch the inequality signs

8. anonymous

i got 1 and -1

9. anonymous

so it would be x > -1 ?

10. UsukiDoll

$\large -3x <3$ $\large \frac{-3}{-3}x <\frac{3}{-3}$ $\large x >-1$ yes