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Solve the inequality 4t^2 \le -9t + 12 - 4t + 23 + (2t - 1)(2t + 1). Write your answer in interval notation.

 Aug 10, 2024
 #1
avatar+1946 
+1

First, let's simplify the right hand side of the equation a little bit. 

We get that 9t+124t+23+4t21=13t+4t2+34

 

Now, we simply move all terms to one side. Note that most terms cancel out. 

we get the equation

13t340

 

Solving for t, we get

13t34t3413

 

In interval notation, this is

(inf,3413]

 

Thanks! :)

 Aug 10, 2024
edited by NotThatSmart  Aug 10, 2024

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