Question 1065357
.
Solve the following inequality.
40x-84 < 40/x

a.) Is the point x=0 included in the solution set of the inequality?
b.)Are the other finite end points of the intervals included in the solution set?
c.) What is the solution set?
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{{{graph( 330, 330, -5.5, 5.5, -150.5, 50.5,
          40x-84, 40/x
)}}}


Plots &nbsp;y = 40x - 84 (red) &nbsp;and  &nbsp;y = 40/x (green)



The inequality is hold where the red line is below &nbsp;(lover than)&nbsp; the green line.


The solution set is  &nbsp;&nbsp;x < {{{-2/5}}} &nbsp;and &nbsp;&nbsp;0 < x < 2.5.

In the interval notation the solution set is &nbsp;({{{-infinity}}},{{{-0.4}}}) U ({{{0}}},{{{2.5}}}).


The solution by &nbsp;"josgarithmetic" &nbsp;is wrong. &nbsp;Ignore his writing.