1.

Write the following sets in roster from: D = {x : x is an integer, x2 ≤ 9}.

Answer»

Integers = …, -4, -3, -2, -1, 0, 1, 2, 3, 4, … 

x = -4, x2 = (-4)2 = 16 > 9 

x = -3, x2 = (-3)2 = 9 

x = -2, x2 = (-2)2 = 4 

x = -1, x2 = (-1)2 = 1 x = 0, 

x2 = (0)2 = 0

x = 1, x2 = (1)2 = 1 

x = 2, x2 = (2)2 = 4 

x = 3, x2 = (3)2 = 9 

x = 4, x2 = (4)2 = 16 

The elements of this set are -3, -2, -1, 0, 1, 2, 3 

So, D = {-3, -2, -1, 0, 1, 2, 3}



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