What is the solution of...

Question

anonymous · Answer

attachment

anonymous · Answer

Do you know how to separate it into two inequalities since there is an absolute value on the second term?

anonymous · Answer

@whatisthequestion no not really

anonymous · Answer

Okay do you understand what the absolute value does?

anonymous · Answer

@kevincourtes please respond

anonymous · Answer

absolute value takes the positive and the negative sign. for example $$\left| x \right|<2 \rightarrow -2<x<2$$

anonymous · Answer

@whatisthequestion yes i understand

anonymous · Answer

in your case, $$-18\le3x-3\le18$$

anonymous · Answer

@Lynncake okay so you solve for x now?

anonymous · Answer

I have a small issue withe my dog right now .... so I am going to sign off and let her take over now

anonymous · Answer

add 3, 
−18≤3x−3≤18
|_________|______|
-18+3≤3x-3+3≤18+3

anonymous · Answer

@Lynncake ohh okay

anonymous · Answer

you got it @kevincourtes ?

anonymous · Answer

@Lynncake i got -5 x 7

anonymous · Answer

@Lynncake the last answer

anonymous · Answer

yep, that's right :) never give up :D

anonymous · Answer

@Lynncake what about something like this?

anonymous · Answer

simplify by dividing 4 and 6

anonymous · Answer

@Lynncake you get -5 for the first and 8 for the second

anonymous · Answer

x>-5 and x<8 
right? which is x is greater than -5 and x is less than 8
to combine this, you get -5<x<8 which is the same thing as "x is greater than -5 and x is less than 8"