+0  
 
0
77
1
avatar+144 

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

40 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.