MATEMATİK I - Deneme Sınavı - 8

Using the formula (M ∪ T) = s(M) + s(T) – s(M ∩ T),

we have s(M ∩ T) = 35+ 40 – 40 = 35 which is the required number. 

Correct answer is 35.

Correct answer is A.

E ∩ G = {x| x is a tourist who can speak both English and German}

Then

s(E ∪ G) = s(E) + s(G) – s(E ∩ G)= 10 + 15 – 9 = 16.

Additionally, 3 tourists can speak neither English, nor German. Therefore, the total number of tourists is 16 + 3 = 19.

Correct answer is D.

Correct answer is B.

B = [2, 5) = {x| x ∈ R  and 2 ≤ x < 5},

A \ B = {x| x ∈ A and x ∉ B}. Then A \ B = {x| 1 ≤ x < 2 } = [1, 2)

Correct answer is C.

4 x 25= 100

Correct answer is E.

A \ B = {x| x ∈ A and x ∉ B} then A \ B = {1, 9}.

s(B ∩ R) = s(B) + s(R) – s(B ∪ R)=16+18-22=34-22=12

A ∩ B = {3},

A \ B = {1, 2},

B \ A = {4,5},

A^c = {5, 6, 7, 8, 9, 10},

B^c = {1, 2, 6, 7, 8, 9, 10}.

correct answer is D.

A has only one empty subset Ø, therefore the number of nonempty subsets is 16 – 1 = 15.

The corresponding diagram is

 where the numbers 6, 10 and 10 indicate the numbers of elements in the corresponding subsets.

Therefore s(B \ A) = 10.

Therefore, every rational number has an infinite number of representations.

4/5 = 8/10 = 12/15 = 16/20 = ...