We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
208
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+324 
+1

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+324 
+1
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

27 Online Users