Which of the following sets are finite? {x∈Z|x2≤10} {x∈Z|x3≤10} {x∈N|x3≤10} {x∈R|x2≤10} {x∈R|x3=10}
Which of the following sets are finite?
{x∈Z|x2≤10}
{x∈Z|x3≤10}
{x∈N|x3≤10}
{x∈R|x2≤10}
{x∈R|x3=10}
Homework Answers
Z denotes set of integers ( eg. -1,-2,0,1,2 etc.) N denotes natural number ( eg. 0,1,2,3...) .
R denotes real number , which can be anything between 
( such as 0,1,0.1,0.123 etc.)
Obviously there are numerous x 
R : X2 <= 10 and x
Z | X3 <=10 but only one x | X3 = 10
So ,{x∈R|x3=10} and {x∈Z|x3≤10} are finite .
Add Answer to:
Which of the following sets are finite?
{x∈Z|x2≤10}
{x∈Z|x3≤10}
{x∈N|x3≤10}
{x∈R|x2≤10}
{x∈R|x3=10}
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