The members of the set A={x |x is the cube of an integer and x < 100} is
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{0, 1, 8, 27, 64} is the correct answer
Step-by-step explanation:
- The members of the set A={x |x is the cube of an integer and x < 100}
- the set will include all perfect cubes less than 10
that is,
0³ = 0 < 100
1³ = 1 < 100
2³ = 8 < 100
3³ = 27 < 100
4³ = 64 < 100
- thus, the cubes of intergers which are <100 are 0, 1, 8, 27, 64.
- {x |x is the cube of an integer and x < 100} = {0, 1, 8, 27, 64}
hence, The members of the set A={x |x is the cube of an integer and x < 100} is {0, 1, 8, 27, 64}
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