Question

A ={x:x is an integer, 1/2<x<7/2} .
B={2,3,4,}
a). write A in the roster form
b) write the Power set of A union B
c) verify that( A-B) union (A interaction B )=A​

Answer 1

Step-by-step explanation:

The empty set {} is a subset of {a,b,c}

And these are subsets: {a}, {b} and {c}

And these are also subsets: {a,b}, {a,c} and {b,c}

And {a,b,c} is a subset of {a,b,c}

And altogether we get the Power Set of {a,b,c}:

P(S) = { {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} }

Think of it as all the different ways we can select the items (the order of the items doesn't matter), including selecting none, or all.