Question

solve the inequality
(-2/3) | x+5 | < 12

a. x >7 or x<-7
b. x>7 or x< -17
c. -17 13 years ago

Answer 1

Hint: Multiply both sides by -3/2

Answer 2

|x+5| < -18 @Hero ??

Answer 3

if when multiply by a negative number ur equation sign must reverse be >

Answer 4

If one side represents distance and the other side has a negative number, can distance be negative?

Answer 5

i thought that was only for division?

Answer 6

division still family with multiply :p

Answer 7

Bro, if you multiply or divide by a negative number, it doesn't matter. You have to switch signs.

Answer 8

|x+5| > -18

Now that gives us a valid equation to work with since distance (being positive) can be greater than a negative number.

Answer 9

ok so | x+5 | > -18. now you subtract 5 right? so thats x > -23. thats not a choice

Answer 10

Bro, the five is trapped inside the absolute value symbol. What will you do to "free" it?

Answer 11

i dont know

Answer 12

18 > x + 5 > -18

x + 5 < 18
x + 5 > -18

Answer 13

x < 18 - 5
x > -18 - 5

Answer 14

x<13 and x>-23

Answer 15

but how does that help? its not a choice

Answer 16

@Hero ? sorry to bother you

Answer 17

the question is wrong :p

Answer 18

great....so my best guess? maybe c? @RadEn

Answer 19

yes, like u said before the solution should be
x<13 or x>-23 (dont use word "and")

Answer 20

or similar by :
-23 < x < 13

Answer 21

I think the solution is all real numbers

Answer 22

I double-checked on my calculator and on wolframalpha

Answer 23

yea, all real number :)
- multiply by abs number always be negative, right ?
because abs number must be positive

Answer 24

Yeah, this is the type where you cannot solve for x by using normal algebra methods. You just have to look at it and realize distance will always be greater than a negative number

Answer 25

@kennyfamily, double check and make sure you posted the question correctly.

Answer 26

recheck again ur question @kenneyfamily