Continuous

Continuous = is can be measured and take any value.


Cases:

• The tallness of a stallion (could be any esteem inside the scope of steed statures).

• Time to finish an errand (which could be measured to parts of seconds).

• The open air temperature at twelve (any esteem inside conceivable temperatures ranges.)

• The speed of an auto on Route 3 (accepting legitimate speed limits).

Example :

• person height 
• time in work
• a animal weight 

Graph: You can draw a ceaseless capacity without lifting your pencil from your paper.

Video 

Discrete

Discrete data is can be counted,can take certain values.


Example 1: number of people in city

Example 2: the results of rolling 2 dice:



can only have the values 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12

video Discrete and Continous

inequality

An inequality says that two values are not equal.

a ≠ b says that a is not equal to b

There are have special symbols that show below

Example 

Examples 1

Examples 2

Solve 2x - 5 < 12

Solution:

2x - 5 < 12

(2x - 5) + 5 < 12 + 5

2x < 17

(1/2)2x < (1/2)17

x < 17/2

Examples 3

Solve 13 - 3x  10

Solution:

13 - 3x  10

-3x  10 - 13

-3x  -3

(-1/3)(-3x)  (-1/3)(-3) (Recall - rule 5)

x  1

Exercise 1


 Solve the inequality z + 5 ≥ 3 and represent its solutions using a number line. 

Answer

z ≥ -2

Logarithm

A logarithm is the ability to which a number must be brought up so as to get some other number

Example 1

Log 100 = 2

Because

Example 2 

    How many 2 do we mutiply to get 16??

Answer: 2 × 2 × 2 x 2 = 16, so we needed to multiply 4 of the 2s to get 16

So the logarithm is 4

We write "the number of 2s we need to multiply to get 16s 4 as:

log₂(16)=4

Exercise :-

Number Pattern

list of numbers that follow a certain sequence.


Example: 1, 4, 7, 10, 13, ... starts at 1 and jumps 3 every time.

Another Example: 2, 4, 8, 16, 32, 64 ... doubles each time

Example

 Example: 27, 24, 21, 18, __

Note : (just -3 for the answer)

Example: 3, 4, 6, 9, 13, 18, __

Note : ( it must Add running number )

Combination

What number of various ways would you be able to choose 2 letters from the arrangement of letters: X, Y, and Z? (Indicate: In this issue, request is NOT critical; i.e., XY is viewed as an indistinguishable choice from YX.)

Arrangement: One approach to take care of this issue is to rundown the greater part of the conceivable determinations of 2 letters from the arrangement of X, Y, and Z. They are: XY, XZ, and YZ. Along these lines, there are 3 conceivable mixes.

Example 1

The group of different ways that a certain number of object as a group can be selected from a large object.

·         Order does not matter unordered list group

·         Choice, selection & election 

Permutation

Number of different ways that a certain number of object can be arrange in order from large number.

·         Order matters, an order matters

·         Key : arrangement