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Sets Practice Test 1

Question : 14 of 33

Marks: +1, -0

If Y ∪ {7, 8, 9, 10} = {1, 2, 7, 8, 9, 10, 11} thelargest set of Y is

Solution: 👈: Video Solution

Concept:

The union of two sets contains every element present in either set.

Explanation:

Given

Y \cup \{7,8,9,10\} = \{1,2,7,8,9,10,11\}

The elements

7,8,9,10

are already supplied by the second set.

Y

must contain the remaining elements

1,2,11

To make

Y

the largest possible set, also include

7,8,9,10

inside

Y

Thus the largest

Y

\{1,2,7,8,9,10,11\}

Answer:

The largest set of

Y

\{1,2,7,8,9,10,11\}

This matches option C.

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