Remember this:
x < y AND x and y are both positive, Flip sign -> 1/x > 1/y
x < y AND x and y are both negative, Flip sign -> 1/x > 1/y
x < y AND x is negative and y positive, Dont flip sign -> 1/x < 1/y
x < y AND x we don't know if they are positive or negative, we can't take reciprocals
(1) In this case, they are presenting us 1/x < 1/y < 1/z
Because we know that they are all positive, (1/y is between 2 positive number so it must be positive), then we can take the reciprocal (yeah.. the reciprocal of a "reciprocal" :p), so we get x>y>z (manipulate to get 6>k>3)
Solve and woala!
(2) Manipulate agebraicly, remembering that any operation should be done on each section of the inequality, not just the outside sections.
"There's a difference between interest and commitment. When you're interested in doing something, you do it only when circumstance permit. When you're committed to something, you accept no excuses, only results."
