Question

Asked Sep 18, 2019

Use the definitions for the sets given below to determine whether each statement is true or false:

A = { x ∈ Z: x is an integer multiple of 3 }

B = { x ∈ Z: x is a perfect square }

C = { 4, 5, 9, 10 }

D = { 2, 4, 11, 14 }

E = { 3, 6, 9 }

F = { 4, 6, 16 }

An integer x is a perfect square if there is an integer y such that x = y2.

(a)

27 ∈ A

(b)

27 ∈ B

(c)

100 ∈ B.

(d)

E ⊆ C or C ⊆ E.

(e)

E ⊆ A

(f)

A ⊂ E

(g)

E ∈ A

Step 1

From the given information:

Step 2

**(a) TRUE**

From the definition of set A, elements will be multiple of 3 like:

Step 3

**(b) FALSE**

From the definition of set B elements will be a perfect square and 27 ...

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