infinite set

[roryj200]

Can someone please explain to me how this is an infinite set:
A={x | x∈Z and x^3<10}

 

[lookagain]

Can someone please explain to me how this is an infinite set:
A={x | x∈Z and x^3<10}

x such that x is an element of the integers and x cubed is less than 10.

roryj200, did you consider x = 0? Also, did you consider negative integer
values of x?

 

[HallsofIvy]

The set of all negative integer is infinite and all negative integers satisfy that inequality.

 

[Steven G]

The set of all negative integer is infinite and all negative integers satisfy that inequality.

Looks good to me!