What is the mathematical meaning of each symbol below? give an example of each using numbers and/or algebraic expressions. ∼ ∪ ∩ ∅ ≠ !

∼  : This symbol denotes similarity

∪ : This symbol means union

∩ : This symbol means Intersection

∅ : means an empty set

≠ : this symbol mean not equal to

! : This symbol means factorial

Step-by-step explanation:

Given symbols in the question:

∼  : This symbol denotes similarity

i.e the resemblance or likeness.

∪ : This symbol means union

i.e

A∪B element that belong to set A or set B

∩ : This symbol means Intersection

i.e

A∩B = Element that belong to set A and set B

∅ : means an empty set

For example

if A = { 1, 2, 3 }   B = { 4, 5, 6 }

Then,

A∩B = ∅

≠ : this symbol mean not equal to

i.e

LHS is not equal to RHS

! : This symbol means factorial

i.e

If we write 3!

we solve it as 3! = 3 × 2 × 1

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0