Posted by Crystal on .
.04x + 720  .06x > = 650
.02x <= 70
x < = 70/.02
x < = 3500
Or do the sign go the other way like this?
.04x + 720  .06x > = 650
.02x > = 70
x > = 70/.02
x > = 3500
Which would be the solution to solve this inequality?
.04 x + .06(12000x) >= 650

Algebra 
Reiny,
see my final reply to
http://www.jiskha.com/display.cgi?id=1247546252 
Algebra 
Crystal,
Why is is greater than or = to? I got the answer as being < or = 3500? Can you please explain? Thanks!

Algebra 
Reiny,
Yes, I had agreed that you were right,
and changed it to ≤
here is the corrected version
.04x + 720  .06x ≥ 650
.02x ≥ 70
x ≥ 70/.02
x ≤ 3500 
Algebra 
Crystal,
So basically the > = stay the same for the first 2 lines and change to < = for the last? How does that work?

Algebra 
Reiny,
Ok, I will illustrate with an example
e.g.
8 > 5 > True
if we add any number or subtract any number the statement is still true
8+6 > 5+6 > True
let's multiply by a positive number
8(4) > 5(4) > still True !
how about dividing by a positive
8/2 > 5/2 ??? Yes, still True
how about multiplying by a negative
8(3) > 5(3) or
24 > 15 BUT THAT IS FALSE !!!
how do we make it true? We reverse the sign
24 < 15 , now it's Truee
same thing for division by a negative.
So, in summary,
you can add/subtract any value just like for equations and the inequality sign stays the same.
Same is true for multiplying/dividing by a positive number.
BUT, when you multiply or divide by a negative number in an inequality, you have to reverse the inequality sign at that step. Usually this will be your last step. 
Algebra 
Crystal,
Thank you! This is a great review of this topic! Thanks again!