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 = .

What is the equation of this graphed line? enter your answer in slope-intercept form in the box.

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

What is 1/3x5 on anuber line what does it look like on a number line