Let pn) be the statement if a, a ,an and , bn are sets such that a bj for 1,2, .n, then identify the basis step to prove that pn) is true using mathematical induction. ? ajc bj implies that u)-1 ajc u)-1 bj because union of one set is itself. o ac b implies that-1a u-bj because union of two sets is the larger set. o al b implies that uj-ia/^uj-1b because union of one set is itself. o bic a implies thatuj-iajcuj-1bj because union of one set is itself. o ai c bl implies that u)-1 aj u)-1 bj because union of one set is itself.

1) is right

step-by-step explanation:

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.

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step-by-step explanation:

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