Math 10 Section 9, 10, 11 Activity on Sets

Which of the following is a set?

• collection of pleasantly-looking letter in the English alphabet

• collection of the distinct letters in the word "Minahal"

• collection of the greatest "Kaldag" tiktoks

• collection of small positive numbers

Write the following set using roster method:

{c | c is a prime number between 0 and 10}

• {1, 2, 3, 5, 7, 9}

• {2, 3, 5, 7, 9}

• {2, 3, 5, 7}

• {1, 2, 3, 5, 7}

Which of the following is not equal to ϕ?

• {x | x is a whole number between 5 and 6}

• {x | x is a prime number between 7 and11}

• {x | x is a vowel in the word "rhythm"}

• {x | x is an odd number between 7 and 11}

Which of the following statements is correct?

• ϕ = {ϕ}

• ϕ ∈ {ϕ}

• ϕ ∈ ϕ

• {ϕ} ⊂ ϕ

• { j, k }

• { g }

• { j }

• { d, e, f, j, k }

• None of the choices.

What does the shaded area represent?

• (M ∩ N) − P

• (M ∪ N) ∩ P′

• (M ∪ N) − P′

• (M ∩ N) ∩ P'

• None of the above.

Based on the diagram, select all choices that are false.

• A = B

• A ∩ B = ϕ

• A ∼ C

• A and C are disjoint

• B ∼ C

Which of the following represents:

(M − P) ∩ (P − N) ?

• 
• 
• 
• 

Among the statements below, select all that is false.

• ϕ ∈ {ϕ, {ϕ}}

• If sets J and K are disjoint, then J ∩ K = ϕ.

• Any set is a proper subset of itself.

• If X ⊆ Y, then X ∪ Y = X.

• {ϕ} is countable.