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
54
1
avatar

Find all real numbers T such that (2/3)t - 1 < t + 7 ≤ -2t + 15. 

 

 

Thanks,

 Oct 15, 2019
 #1
avatar+104969 
+1

(2/3)t - 1 < t + 7 ≤ -2t + 15

 

We can split this up into two inequalities

 

(2/3)t - 1  < t +7                                               t + 7  ≤-2t + 15

 

add 1 to both sides,                                         add 2t to both sides,

subtract t from both sides                                subtract 7 from both sides

 

(-1/3)t <  8                                                         3t ≤ 8

 

Multiply both sides by - 3                                     divide both sides by  3

Change the direction of the inequality sign

 

t >  - 24                                                                   t ≤ 8/3

 

So  ....the answer is that

 

-24 < t ≤ 8/3

 

 

cool cool cool

 Oct 15, 2019

13 Online Users

avatar