11.2 Venn diagrams, universe sets, complements a set and subset

Report 1 / 5

The diagram below shows the Venn diagram of universal set and set \(T\).

Given \(\xi = \{\text{letters in the word 'KLANG'}\}\) and \(T = \{\text{the vowels}\}\).

State the elements of set \(T\).

(A) \(A\)

(B) \( A, A\)

(D) \(K,L,G\)

Difficulty Level: Medium

Report 2 / 5

The diagram below shows the Venn diagram of universal set and set \(F\).

Given \(\xi = \{\text{M, A,T, E, M, A, T, I, K}\}\) and \(F = \{\text{E,T,I,K,A}\}\). State the elements of set \(F'\).

(A) \(T\)

(B) \(T,E\)

(D) \( M, K\)

Difficulty Level: Medium

Report 3 / 5

Given

\(\xi=\{x:x \,\text{is multiple of}\,45\,\text{and}\,x\leqslant 360\}\)

Determine the complement of a

\(\text{Set L} =\{45, 90, 135, 180, 225\}.\)

(A) \(\text{L'} = \{200, 300, 360\}\)

(B) \(\text{L'} = \{270, 315, 360\}\)

(D) \(\text{L'} = \{280, 330, 360\}\)

Difficulty Level: Medium

Report 4 / 5

Given

\(\xi=\{x:x \,\text{is a multiple of}\,30\,\text{and}\,x\leqslant 270\}\).

Determine the complement of

\(\text{Set H} =\{180, 210, 240, 270\}.\)

(A) \(\text{H'} = \{35, 45, 65, 115, 150\}\)

(B) \(\text{H'} = \{30, 60, 90, 120, 150\}\)

(D) \(\text{H'} = \{30, 89, 97, 128, 150\}\)

Difficulty Level: Medium

Report 5 / 5

Given

\(\xi=\{x:x \,\text{is a multiple of}\,13\,\text{and}\,x\leqslant 130\}.\)

Determine the complement of

\(\text{Set F} =\{13, 26, 39, 52, 65, 78\}.\)

(A) \(\text{F'} = \{91, 104, 117, 130\}\)

(B) \(\text{F'} = \{90, 100, 110, 130\}\)

(D) \(\text{F'} = \{91, 105, 110, 130\}\)

Difficulty Level: Medium