Let , and be sets in some universal set Ω. Determine whether the following statements are true or false. If a statement is true, then provide a proof, if a statement is false, then explain why

a. For all sets , and , ( ∩ ) ∪ = ∩ ( ∪ ).
b. For all sets , and , \(\) = (\)\.
c. For all sets , and , if ∩ = ∩ , then = .

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.