mathsmagician

[mathsmagician]

Common observations and Wavy curvy method to solve inequalities:

Sorry for late blogs I will try to be punctual.

There are mainly two observations in terms of inequalities:

#If we multiply -1 on both sides of inequalities or any negative numbers than the sign is reversed. Let me simplify it with an example:

#If a, b,c and d are number than there product is and and when you multiply -1 or other negative number it became -nabcd. n is a negative number. For example:

Now comes the very important topic which seems to be hard to many high school students which is to solve inequalities.

I promise to make it easy for you.

A very simple method is,

"Wavy Curvy Method" which is explained very complexly by taking cases. I am gonna make it easy.

Working rule:

1. Make one side equal to zero.

2. Make sure that leading coefficient is positive(coefficient of higher degree)

3. Factorise to linear factors.

4. Make number line and enjoy.

Trick:

Always take the right side positive and follow alternate positive and negative sign.

The method seems to be complex. It is not my friend let's implement it by taking an example:

Step 4 is very important

Thank you

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[mathsmagician]

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[mathsmagician]

Number line and importance of brackets :

Brackets as in last blog can classified as open,close and curly. They all carry a deep meaning in them.

1.Close brackets :

They involve the elements in the bracket and the infinite numbers between them.

Example:

2.Open brackets:

They don't involve the elements in the bracket and but involves the infinite numbers between them.

Example:

3.Curly brackets:

They only involve the elements in the bracket and not the infinite numbers between them.

Example:

#Number line representation :

We always use a open dot for open brackets and closed for closed brackets.

Some examples:

The examples will give you a better idea.

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[mathsmagician]

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[mathsmagician]

Equations and Inequations:

Equations:

Equations are the real numbers or the algebraic expression which are related by the symbol of equal to.

Inequations :

Two real numbers or algebraic expression which are related by the symbol like greater than, smaller than, greater than or equal to and smaller than or equal to.

Some important symbols :

Brackets :

There are three types of brackets #close brackets

#open brackets

#curly brackets

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