express the following relations in set builder notation:
a.) one number is less than or equal to another.
b.) one integer is a factor of another.
c.) two integers are unequal.
d.) one set is a subset of another.

Step-by-step explanation:

Consider the provided information.

We need to Express the following relations in set builder notation.

Part (A)

One number is less than or equal to another.

Let say One number is x and another number is y.

The statement can be written as: x≤y

Let S be required set. Now, express the above statement in set builder notation,

Part (B)

One integer is a factor of another.

Let say One number is x and another number is y.

If one integer is factor of other then the greatest common factor of x and y should be x.

Let S be required set. Now, express the above statement in set builder notation,

Part (C)

Two integers are unequal

Let say One number is x and another number is y.

Let S be required set. Now, express the above statement in set builder notation,

Part (D)

One set is a subset of another.

Let say One set is P and another set is Q.

Let S be required set. Now, express the above statement in set builder notation,

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.