a) If \( A = \{ 5, 7 \} \), then what is the number of all subsets of set \( A \)?
The correct answer is (b) 4.
A set with n elements has \(2^n\) subsets. Since A has 2 elements, it has \(2^2 = 4\) subsets.
A set with n elements has \(2^n\) subsets. Since A has 2 elements, it has \(2^2 = 4\) subsets.
MR/Nasef.N
b) If \(\{ 3, 6, 7, x \} = \{ 6, y, 3, 5 \}\), then what is the value of \( y - x \)?
The correct answer is (c) 2.
For the sets to be equal, their elements must match. Therefore:
\(x = 5\) and \(y = 7\)
Thus, \(y - x = 7 - 5 = 2\)
For the sets to be equal, their elements must match. Therefore:
\(x = 5\) and \(y = 7\)
Thus, \(y - x = 7 - 5 = 2\)
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