If a ⊂ b, then which of the following describes the relationship between a and b? 1. set a can have the same number of elements as set b. 2. set b may have less elements than set a. 3. the intersection of sets a and b must be the empty set. 4. set b may have more elements than a does.

The answer is 4 alone, or 1 and 4, depending on how you interpret the symbol (see below for explanation).

The writing means that A is a subset of B. This means that every element of A is also an element of B, while there are elements of B that are not elments of A. For example, even numbers are a subset of natural numbers: all even numbers are natural numbers, but not all natural numbers are even.

In theory, a subset could "fill" the whole superset (and thus they are the same set), but this is indicated by the writing . Nevetheless, sometimes the two symbols are interchanged, and one writes but means .

You can think of this as the same difference between   and

So, the first point is false if you mean that A is a "strict" subset of B, while it can be true if you mean that A is generally a subset of B.

As for the second point, set B can't have less elements than set A. In this case, there would be an element in A not belonging to B, which is impossibile because B is a superset of A.

Third point: the intersection can't be the empty set (unless A is empty), because every element in A also belongs to be, and so the intersection between A and B is actually A itself.

Finally, the fourth point is true: basing on everything we said so far, B contains at least all the elements in A, and possibly some more.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.