Consider the following relation r on the power set p(z) of the integers: r= {(a, b) e p(z) ~ p(z) | vaea 3beb alb} determine whether or not r is (a) reflexive, (b) symmetric, (c) transitive. you will need to prove or disprove the given property in each case. if you give a counter- example, you must explain why it is a counter-example.

30 pts, will mark brainliestwhat is the period of the sinusoidal function? (picture 1)what is the minimum of the sinusoidal function? (picture2)what is the maximum of the sinusoidal function? (picture 3)

Which statement about perfect cubes is true

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave