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What is the smallest integer x for which \(x<2x-7\)

 Jan 2, 2022
 #1
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+2

x < 2x - 7

-x < -7

x < 7

 

Therefore, the smallest integer x that works is 8.

 Jan 2, 2022
 #2
avatar+179 
+2

Thank you so much I love the explanation!

 Jan 2, 2022
 #3
avatar+117441 
+2

Thanks guest, but you have a couple of little errors

 

when you multiply or divide by a negative number you have to turn the sign around

 

so

-x        < -7

-x*-1  >  -7*-1

 

x > 7

 

So the smallest integer that works is 8    (because 8 is bigger than 7.)

 Jan 2, 2022
 #4
avatar+179 
+1

Thanks melody

 Jan 2, 2022
 #5
avatar+117441 
0

You are very welcome :)

Melody  Jan 3, 2022

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