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

 Jan 18, 2025

Best Answer 

 #1
avatar+28 
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$4t^2 \le -9t + 12 - 4t + 23 + (2t - 1)(2t + 1)$

 

When you combine like terms and simplify, you get $4t^2 \le -13t+35+4t^2-1$ which turns into $13t \le 34$

 

Divide both sides by 13: $t \le 34/13$

 

So the answer in interval notation is $(-\infty,34/13)$

 

 Jan 19, 2025
 #1
avatar+28 
+1
Best Answer$4t^2 \le -9t + 12 - 4t + 23 + (2t - 1)(2t + 1)$

 

When you combine like terms and simplify, you get $4t^2 \le -13t+35+4t^2-1$ which turns into $13t \le 34$

 

Divide both sides by 13: $t \le 34/13$

 

So the answer in interval notation is $(-\infty,34/13)$

 

Owinner Jan 19, 2025

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