+0  
 
0
37
1
avatar

How many integer values satisfy (x-1)/3<5/7<(x+4)/5

Guest Oct 14, 2018
 #1
avatar+307 
+1

So we take this first (x-1)/3<5/7 and after this 5/7<(x+4)/5

(x-1)/3 < 5/7                                                5/7<(x+4)/5

7(x-1) < 3(5)                                                5(5) < 7(x+4)

7x - 7 < 15                                                  25 < 7x + 28

7x < 22                                                       -3 < 7x

x<22/7                                                        -3/7 < x 

or x< 3.1...                                                 or x > -0.4...

We find  -0.4 < χ < 3.1 

so the answer : integer values ​​satisfy is 0,1,2,3

Hope this helps!

Dimitristhym  Oct 14, 2018
edited by Dimitristhym  Oct 14, 2018

12 Online Users

avatar
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.