need help on a problem

Question

anonymous · Answer

$$3x - 3 \left| \le \right| 8 $$

jamierox4ev3r · Answer

@PeytonPerez372  is that an absolute value sign surrounding the less than or equal to sign?

anonymous · Answer

yes it is

anonymous · Answer

sorry i wrote the problem wrong

jamierox4ev3r · Answer

oh wait… oh okay I was about to say, I don't know how to solve that lol

anonymous · Answer

lol yea let me redo it

jamierox4ev3r · Answer

sure :)

anonymous · Answer

$$\left| 3x-3 \right| \le 18$$

jamierox4ev3r · Answer

alright :) so first, you would create two equations

$-3x-3\le18$                $-3x-3\ge-18$

jamierox4ev3r · Answer

does this make sense to you so far?

anonymous · Answer

yes it does

jamierox4ev3r · Answer

alright… do you know what to do from here or shall i continue? xDD

anonymous · Answer

can you please continue

jamierox4ev3r · Answer

sure :) so once you have these equations, solve for one variable

$-3x-3\le18$              $-3x-3\ge-18$
        +3   +3                         +3     +3
------------              ---------------
$-3x\le21$                    $-3x\ge-15$

*note: when dividing by a negative, flip the sign*

jamierox4ev3r · Answer

from here, do you think you can solve for x? for both equations?

jamierox4ev3r · Answer

@PeytonPerez372 ?

anonymous · Answer

no i need help the rest of the way please

anonymous · Answer

there are my choices for answers.?
A. [-18\le x \le18\]
B. $$-15 \le x \le21$$
C. $$-7 \le x \le 5 $$
D\ $$-5 \le x \le 7 $$

jamierox4ev3r · Answer

okay…so here I left off with:

$-3x\le21$ and  $-3x\ge-15$
/-3    /-3            /-3       /-3
---------        --------------
$x\ge-7$           $x\le5$

jamierox4ev3r · Answer

so that is what you get after you solve. if x is greater than -7 but less than 5, what will the answer look like? @PeytonPerez372 ?

jamierox4ev3r · Answer

do you get it? :P

anonymous · Answer

yes mam thank you :)

jamierox4ev3r · Answer

oh no problem, just wanted to be sure… anytime :D