Question

please help with solving inequalities? :)

Answer 1

\[\left| \frac{ x }{ x-4 } \right| \ge 1\]

Answer 2

to get rid of absolute value sign, can be written as equivalent to:

\[-1 \ge \frac{ x }{ x-4 } \ge 1\]

you'll wanna solve for them individually:

\[\frac{ x }{ x-4} \le -1\]
and
\frac{ x }{ x-4} ge 1

Answer 3

last one is: \[\frac{ x }{ x-4} \ge 1\]

Answer 4

oh okay let me just do that right now :)

Answer 5

is it \[x \le 2\]?

Answer 6

for this one \[\left| \frac{ x }{ x-4 } \right| \]

Answer 7

@Euler271 ?

Answer 8

that is right :)

Answer 9

and for the other one i got -4≥0

Answer 10

@Euler271 is that one right too?

Answer 11

i get -4 ≤ 0. which would be correct.

if you would get a wrong statement like -4≥0 somehwere, you'd have a to back up and double check your stuff.

because -4 is not greater than 0

Answer 12

sorry that's what i meant my bad

Answer 13

i figured :)

Answer 14

@Euler271, don't let @satellite73 catch you writing \(\large-1 \ge \frac{ x }{ x-4 } \ge 1\) as an and statement. He'll tell you that it is mathematically incorrect. Technically, it is. However, it does allow you to remember how to set up the or statements.

Answer 15

@Hero uh... should i not write it like that then? :S

Answer 16

@Hero

i see why it's wrong; my bad

there are 2 distinct answers; one for each inequality. should have said or instead of and