Applications of Inequalities Question

[spacemonkeysenju]

I don't understand where the 0.5 Leading Coefficient went. If it was divided by 0.5 to cancel it out, Wouldnt the inequality sign have to be reversed?

 

[Otis]

I don't understand where the 0.5 Leading Coefficient went. If it was divided by 0.5 to cancel it out, Wouldnt the inequality sign have to be reversed?

Hi spacemonkeysenju. We reverse the direction of an inequality sign only when multiplying or dividing by a negative number.

Yes, when you divided the factor 0.5 by itself, the result was 1 (it got "cancelled"). That new factor is still there, however, but we generally omit writing factors of 1.

I agree with your answer. Good work!



[imath]\;[/imath]

 

[Otis]

PS: Here's a graph of p(t), for comparison.



[imath]\;[/imath]

 

[Steven G]

Did you verify that t² - t + 18 > 0?