math
posted by sue on .
solve the following inequality.
24x55<24/x
I don't understand this at all!!! please help

An inequality is treated just like an equation, except that multiplying/dividing by a negative value reverses the carat (< to >).
Multiply both sides by x.
24x^2  55x < 24
Subtract 24 from both sides.
24x^2  55  24 < 0
Factor. Each end term can be factored into 2*2*2*3. Explore combinations of two factors (4*6, 8*3, 12*2, 24*1) that can lead to 55 when combined. Remember that one factor must be negative to lead to 24.
I hope this helps.