Question

solve inequalities 3<|5-2x|<5

Answer 1

hint:
just solve for x in:

3 < 5 - 2x < 5

and

-3> 5 - 2x > -5

does that help?

Answer 2

that part i know

Answer 3

so what part dont you know?

Answer 4

what is the next step

Answer 5

solve for x

for example:

3 < 5- 2x < 5

first step...subtract 5 from all sides
\[\implies 3 - 5 < 5 - 5 - 2x < 5 - 5\]
combine like terms
\[\implies - 2 < -2x < 0\]
now divide all sides by - 2
\[\implies 1 > x > 0\]
got it?

Answer 6

yes my mistake was to subtract 3 from both sides, is there a rule that says i should take the right hand side value

Answer 7

what do you mean by take the right hand side value?

Answer 8

oh...i see what you meant

Answer 9

that was purely coincidental...i wasnt "taking the right hand side value"...i was "taking the middle side value"

see the objective is to get x alone...so the first step is to subtract 5 so the middle will just be -2x

make sense?

Answer 10

then according to the rule of inequalities, what i do to one side, i do to all sides

Answer 11

that makes clear sense, i just don,t know what id do without you guys here at open study thanks again and again

Answer 12

welcome :D

Answer 13

i just joined your fan list