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Find all real numbers \(t\) such that \(\frac{2}{3} t - 1 < t + 7 \le -2t + 15\). Give your answer as an interval.

 

Thanks!

 Oct 18, 2018

Best Answer 

 #1
avatar+316 
+2

2/3t - 1 < t +7 so

2/3t - t < 7 + 1

-1/3t < 8

> -3(8) 

t > -24  

and t+7 < -2t +15 

t + 2t < 15 - 7 

3t < 8

< 8/3 

 

Finally tE (-24,8/3] 

 Oct 18, 2018
 #1
avatar+316 
+2
Best Answer

2/3t - 1 < t +7 so

2/3t - t < 7 + 1

-1/3t < 8

> -3(8) 

t > -24  

and t+7 < -2t +15 

t + 2t < 15 - 7 

3t < 8

< 8/3 

 

Finally tE (-24,8/3] 

Dimitristhym Oct 18, 2018

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