Question

Please Help! 13. List all of the elements of each set

a) Set of integer solutions of x^2≤3

Answer 1

S = {-1, 0, 1}

Explanation:

First we need to solve the inequation x^2<=3

Using square root in both sides, we have:

|x| <= 1.73

Separating the module in two, we have:

x <= 1.73

x >= 1.73

So we have that -1.73 <= x <= 1.73

Solving this inequation only with integer values, we have:

x = -1, x = 0 or x = 1

So the set of integer solutions is S = {-1, 0, 1}