Let: U = {a, b,c, d,e, f,g, h} A = {a, c,f} B = {b, c,f} C = {b, d,e, g,h} Determine the (A∩C). A. (A∩B) ∪ (A∩C) = m B. (A∩B) ∪ (A∩C) is the empty set.

The ordering of the questions here is kind of confusing, so I'll just extract what seems to be relevant. They seem like True/False questions, but that's not clear to me.

There are no common elements between the sets A and C, so

A ∩ C = { } (the empty set)

Both sets A and B share the elements c and f, so

A ∩ B = {c, f }

and since we know A ∩ C is empty, we end up with

(A ∩ B) ∪ (A ∩ C) = {c, f } ∪ { } = {c, f }

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.