Previously we have discussed about rational expression calculator and In today's session we are going to discuss about Equations and Inequalities which comes under cbse books for class 11, Equations are defined as the combination of number and variables that have an equal sign and both sides of an equation must be equal to each other .To solve the equation or for finding the values of variable of a equation are same in meaning .It means that when find the values in form of real number and when it is substituted then it will provide the identity as an example a given equation
3 ( a + 4 ) = -4 ( 2 – 2 a )
By simplify it we get
3 a + 12 = - 8 - 8 a
- 5 a = - 20
a = 4 ( dividing the both side of equation by – 5 ) .
But when we talk about the inequalities, all the rules of equations will be applied except some of the rules of division or multiplication by a negative number .inequalities can be understood by an example :
3 < 4 is multiplied by - 5 then it gives
3 * - 5 > 4 * - 5
- 15 > - 20 means in solving the inequality or finding the values of the variable the solution belongs to an interval of real numbers . (Know more about Inequalities in broad manner, here,)
Some example of inequalities that describe the rules are as follows :
example : An inequality - ( 3 + a ) < 2 ( 3 a + 2 )
By simplifying it we get
-3 – a < 6 a + 4
-a – 6 a < 4 + 3
- 7 a < 7
By dividing the ( - 7 ) , we get a > -1 . In form of interval notation it is written as ( - 1 , infinity ).
In the next session we are going to discuss Compound Inequalities and Read more maths topics of different grades such as Rationalizing the Denominator in the upcoming sessions here.
3 ( a + 4 ) = -4 ( 2 – 2 a )
By simplify it we get
3 a + 12 = - 8 - 8 a
- 5 a = - 20
a = 4 ( dividing the both side of equation by – 5 ) .
But when we talk about the inequalities, all the rules of equations will be applied except some of the rules of division or multiplication by a negative number .inequalities can be understood by an example :
3 < 4 is multiplied by - 5 then it gives
3 * - 5 > 4 * - 5
- 15 > - 20 means in solving the inequality or finding the values of the variable the solution belongs to an interval of real numbers . (Know more about Inequalities in broad manner, here,)
Some example of inequalities that describe the rules are as follows :
example : An inequality - ( 3 + a ) < 2 ( 3 a + 2 )
By simplifying it we get
-3 – a < 6 a + 4
-a – 6 a < 4 + 3
- 7 a < 7
By dividing the ( - 7 ) , we get a > -1 . In form of interval notation it is written as ( - 1 , infinity ).
In the next session we are going to discuss Compound Inequalities and Read more maths topics of different grades such as Rationalizing the Denominator in the upcoming sessions here.
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