A freelance computer consultant keeps a database of her clients, which contains the names

S $=\{$Aces$,$ Bakers, Cores, Dual, Energy, Floyd, Global, Hilbert$\}.$

The following clients owe her money:

A $=\{$Aces$,$ Cores, Energy, Global$\}.$

The following clients have done at least $$30,000$ worth of business with her:

B $=\{$Aces$,$ Bakers, Cores, Dual$\}.$

The following clients have employed her in the last year:

C $=\{$Aces$,$ Cores, Dual, Energy, Global, Hilbert$\}.$

A subset of clients is described that the consultant could find using her database. HINT $[$See Example $4.]$

the clients who owe her money or have done at least $$30,000$ worth of business with her

Write the subset in terms of A$,$ B$,$ and C$.$

B $\backslash$cap C

A $\backslash$cup B

A$\text{'}\backslash$cap B$\text{'}$

B $\backslash$cup C

A $\backslash$cap B

List the clients in the subset.

$\{$Aces$,$ Cores$\}$

$\{$Floyd$,$ Hilbert$\}$

$\{$Aces$,$ Bakers, Cores, Dual, Energy, Global$\}$

$\{$Aces$,$ Cores, Dual$\}$

$\{$Aces$,$ Bakers, Cores, Dual, Energy, Global, Hilbert$\}$