Q3 of 145 Page 4

Write the following sets in roster from:

D = {x : x is an integer, x2 ≤ 9}.


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}


More from this chapter

All 145 →
3

Write the following sets in roster from:

B = {x : x is an integer and –4 < x < 6}.


 3

Write the following sets in roster from:

C = {x : x is a two-digit number such that the sum of its digits is 9}.


 3

Write the following sets in roster from:

E = {x : x is a prime number, which is a divisor of 42}.


 3

Write the following sets in roster from:

F = {x : x is a letter in the word’ MATHEMATICS’}.