Seudónimo Seudónimo
  • 07-05-2020
  • Mathematics
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Please Help! 13. List all of the elements of each set

a) Set of integer solutions of x^2≤3

Respuesta :

walber000 walber000
  • 13-05-2020

Answer:

S = {-1, 0, 1}

Step-by-step 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}

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