Thread: Simple Inequality

Just a quick question on a pretty simple inequality question:









Up to here is simple enough. Now if I take the reciprocal of both sides, I can't with the zero on the left had side, so would I just consider:



So ?

Thanks in advance

if 1/x>0 then
x should be >0 (because reciprocal of a positive number is always positve)
now if 1/x<2 then
x>1/2
see
1/x<2
(1/x)-2<0
(1-2x)/x<0
since x can't be 0 multiplying both side by x
1-2x<0
2x>1
x>1/2

Although is NOT "infinity", it is true that so you can write this as which is the same as just saying .

Ahh I get you, cheers for the replies.