Question

what is the positive numbers for the solution set of |-2x-4|<=12

Answer 1

-12 <= -2x-4 <= 12

Answer 2

if i solve this then i get 4<=x<= -8

Answer 3

everyone must have the same homework. this is the 5th time i have seen this question

Answer 4

@gymgirl no your answer is wrong

Answer 5

there is no such thing as
\[4<x\leq-8\]

Answer 6

first to make the problem easier note that
\[|-2x-4|=|2x+4| \]and then solve
\[|2x+4|<12\] via the compound inequality
\[-12<2x+4<12\]
\[-16<2x<8\]
\[-8<x<4\]

Answer 7

You forgot the equal sign

Answer 8

if you want to skip the first step we can redo the problem as
\[|-2x-4|<12\]
\[-12<-2x-4<12\]
\[-8<-2x<16\] and now when we divide by -2 we have to change both inequalities because -2 is negative to get
\[4>x>-8\] or
\[-8<x<4\]

Answer 9

the problem should be less than or equal to

Answer 10

-8<=x<=4

Answer 11

@heromiles you are right of course. it should be
\[-8\leq x\leq4\] but method is identical

Answer 12

ok i got that as my answer. but i need to know that solution set and it has to be positive numbers. that is what i am confused about