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For how many integer values of x is x^2 < 7x?

 Mar 27, 2020
edited by sloppy  Mar 27, 2020
 #1
avatar+111330 
+2

x^2  <  7x

 

x^2 - 7x  <  0

 

x ( x - 7) <  0      (1)

 

Note  that if  x  > 0   but  < 7  then (1) will be true

And  if  x  is  any negative, then (1)  will not  be  true

And if x > 7   then (1) is also not  true

 

So   the  interval that makes this true  is

 

0 < x < 7

 

 

cool cool cool

 Mar 27, 2020
 #2
avatar+1970 
+1

Nice, Chris!

CalTheGreat  Mar 27, 2020

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