Problem $5$: Set Operations $-$ Union

Given two sets $=\{1,2,3\}$ and $=\{3,4,5\},$ find the union of these two sets and print the result.

Problem $6$: Set Operations $-$ Intersection

For the following sets 'set$\_x`=\{10,20,30,40\}$ and 'set$\_y\text{'}=\{30,40,50,60\},$ determine the intersection and print the shared elements.

Problem $7$: Dictionary Manipulations

Create a dictionary named 'fruit$\_$prices$`$ with the following fruit names as keys and their corresponding prices as values:

Apple: $0\mathrm{.}65$

Banana: $0\mathrm{.}35$

Cherry: $2\mathrm{.}50$

Then, update the price of the cherry to $2\mathrm{.}75$ and add another entry for grapes with a price of $1\mathrm{.}85.$

Problem $8$: Set Operations

Create two sets, 'set$\_$one' with numbers $\{1,2,3,4,5\}$ and 'set$\_$two' with numbers $\{4,5,6,7,8\}.$ Find the union and intersection of these two sets.

Problem $9$: Adding to a Dictionary

Given a dictionary with student names as keys and their grades as values:

student$\_$grades $=\{"$Alice$"$: $88,$ "Bob": $76,$ "Charlie": $90\}$

Add a new student "Diana" with a grade of $95$ and then retrieve the grade for "Alice".

Problem $10$: Removing from a Dictionary

Create a dictionary for a small office where the keys are employee names and the values are their phone extension numbers. Include at least three employees. Then, remove one employee from the dictionary and add a new employee with a different extension.

Problem $11$: Dictionary Manipulations

Given a set $\text{'}$s$1\text{'}$ with elements $\text{'}\{10,20,30,40,50\}\text{'},$ perform the following tasks:

Remove element $20$ from $\text{'}$s$1.$

Add a new element $60$ to $\text{'}$s$1\text{'}.$

Problem $12$: Dictionary Manipulations

Construct a dictionary 'inventory' where the keys are item names and the values are quantities. Start with 'Pens' with a quantity of $24$ and 'Notebooks' with a quantity of $48.$ Then update 'Pens' to $30$ and add 'Markers' with a quantity of $15.$

Problem $13$: Determining Set Differences

Create a set 'prime$\_$numbers' with the$-$first five prime numbers. Then, create another set 'fibonacci$\_$numbers' with the first five numbers in the Fibonacci sequence. Find the symmetric difference between the two sets. Note: you need to look up these series to determine what to put in the sets.

Problem $14$: Finding Differences Between Sets

Create two sets, 'even$\_$numbers' with numbers $\{2,4,6,8,10\}$ and 'odd$\_$numbers' with numbers $\{1,3,5,7,9\}.$ Find the difference between 'even$\_$numbers$`\text{'}$ and 'odd$\_$numbers'.

Problem $15$: Working with Dictionaries

Create a dictionary 'reverse$\_$lookup' where you will store numbers as keys and their word forms as values $($e$.$g$.,1$:'One'$).$ Start with numbers $1$ to $5.$ Then, add another entry for the number $6$ and its word form. Access the word form of number $3.$