Question

Solve for x: −3x + 3 < 6

Answer 1

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

Answer 2

yes

Answer 3

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.

Answer 4

so first subtract 3 on both sides

Answer 5

(stuck in reply mode)

Answer 6

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

Answer 7

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

Answer 8

i got 1 and -1

Answer 9

so it would be x > -1 ?

Answer 10

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