Question

Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
X U Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
ØC (X U Y)

Answer 1

Answer:

1

Step-by-step explanation:

1 is wrong because 88 is in Y but has been ommited from the union of both intervals

Answer 2

Answer:

XUY is the false statement.

Step-by-step explanation:

Given X = {15, 22, 33, 44, 89, 165, 1025}

and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}

1). XUY = All elements or terms of both the sets.

XUY = {-5, 15, 22, 33, 44, 88, 89, 99, 150, 160, 165, 1025}

But the in the given option 88 is missing. Therefore, this statement is False.

2). X∩Y = common terms of both the sets.

X∩Y = {15, 33, 1025}

Matches the given option, so true.

3). ∅ ⊂ (XUY)

Since empty set is a subset of every set so this option is also true.

Therefore, XUY is the false statement.