Question

write expression for |2x-4| without absolute value signs.

Answer 1

if |a| =b
then
a=b or a=-b

Answer 2

oh yes please explain what it means :)

Answer 3

oh ok :)

Answer 4

so, what about |2x-4|

Answer 5

you have that as expression, do u have an equation ?

Answer 6

no, I think i need to express it as a expression

Answer 7

this is an example from my text book. But i dont understand the working out they provide

Answer 8

ill typ it for you?

Answer 9

ok, then we can write
\(|x|=\sqrt {x^2}\)

Answer 10

then \(|2x-4| = \sqrt {(2x-4)^2}\)

Answer 11

type example also .. :)

Answer 12

ok

Answer 13

|2x-4| =2x-4 when
2x-4≥0
x≥2
thats one expression

Answer 14

|2x-4| = -(2x-4) when
2x-4<0
2x<4
x<2

Answer 15

can you just please explain what they are trying to do

Answer 16

we have to show the limits of x

Answer 17

ok,in general,
\(|x|= x , for \: \:x \ge 0 \\|x|= -x , for \: \:x < 0\)
this is true for any 'x'

Answer 18

so, here u just replace 'x' by '2x-4'

Answer 19

ok thank you!! This is all i need prob :)
im just kinda curious how one of them has < and one has ≥
^^