Show that the given set is an infinite set by placing it in a one-to-one correspondence with a proper subset of itself. (use n as your variable.) b (11, 15, 19, 23, 27, 31,, 4n+7,. ) let f (15, 19, 23, 27, then f is (4n +7) ( because b can be placed in a one-to-one correspondence with a proper subset of itself, b is an infinite set. 5. show that the given set has a cardinality of ko by establishing a one-to-one the elements of the given set and the elements c 1,1 4

is there answer choices?

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.