Can someone pls help me understand this
X and Y are consecutive positive integers and:
x>0
X^2-1>y^2-4y+x-1
a) y = or > than 0
b) y > 0
c) y > 1
d) y > 7
e) y > 8
Which of the following represents all the possible values of y?
correct answer is B) It explains as follows by factoring out
x^2-1>y^2-4y+x-1
x^2-x>y^2-4y
x(x-1)>y(y-4)
(y+1)(y+1-1)>y(y-4)
y+1>y-4
1>4 (shouldn't that be 1>-4???)
solution explains:
When we divided both parts of the equation by Y , we assumed that it is greater than 0. Since at the end we are left without a variable, this means that the equation works for any value where
Now any integers greater than y> 3/2 are part of the solution to enequality.
Can someone please explain?
X and Y are consecutive positive integers and:
x>0
X^2-1>y^2-4y+x-1
a) y = or > than 0
b) y > 0
c) y > 1
d) y > 7
e) y > 8
Which of the following represents all the possible values of y?
correct answer is B) It explains as follows by factoring out
x^2-1>y^2-4y+x-1
x^2-x>y^2-4y
x(x-1)>y(y-4)
(y+1)(y+1-1)>y(y-4)
y+1>y-4
1>4 (shouldn't that be 1>-4???)
solution explains:
When we divided both parts of the equation by Y , we assumed that it is greater than 0. Since at the end we are left without a variable, this means that the equation works for any value where
Now any integers greater than y> 3/2 are part of the solution to enequality.
Can someone please explain?
