Question

solve Absolute value(inequality) |-5x-8| <27

Answer 1

solve for x when

-5x - 8 < 27

AND

-5x - 8 > -27

Answer 2

why does 27 turn negative?

Answer 3

it's actually a technique... when |a+ bx| > c then you solve for x when

a + bx > c and a + bx < -c

Answer 4

oh yeah, doesn't the 5 and 8 turn positive?

Answer 5

from the solution i posted...no

Answer 6

so it never turns positive

Answer 7

well not never...for example the second equation

-5x - 8 > -27

if i multiply everything by -1 i'll get

5x + 8 < 27

Answer 8

you can make it positive but the sign will change