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If -1 < y < 0, which of the following is greatest?

 

A. y^2

B. 1 - y

C. 1 + y

D. 2y

 Aug 4, 2020
 #1
avatar+27847 
+1

This means that y is a  negative fraction

A  when you square a negative fraction you get a smaller value positve fraction that is <  +1

B  when you subtract a negative fraction from 1   you get a number >1

C  when you add a negative fraction to 1   you get a positve fraction < 1

D   when you multiply 2 times a negative fraction ....you get a more negative number

 Aug 4, 2020
edited by ElectricPavlov  Aug 4, 2020
 #2
avatar+169 
+2

Well A and B are our candidates

but the thing is that a will be a positive decimal whereas b will be >1

so b

 Aug 4, 2020
 #3
avatar+1130 
+1

let's say that y=-0.5 since that works with -1 < y < 0 so we compute that  A=0.25, B=1.5, C=0.5, D=-1 so we eventually see that B is the greatest so we get B or \(\color{green}{\boxed{B}}\)

 Aug 4, 2020

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