Thursday, 2 February 2012

Solving Two Step Linear inequality

Earlier we have discussed about law of total probability and Now new topic, As we know that Any equation and inequality requires certain steps to reach to the desired solution of the variable and usually it comes under every education board. As we all know that Solving equations which cannot be solved in single steps operation requires multiple steps. It involves the series of steps one after another to get the solution for the given variable in the equation.
While solving two step inequalities, we must always remember that if any negative number is multiplied or the inequality is divided by any negative number, then the sign of inequality changes.
Now here are some equations and inequalities which can be solved by two steps:
We first start with solving two step equations:(Know more about inequality in a broad manner, here,)
  3x + 4 = 7
 In this equation, first we subtract 4 from both the sides,
 We get
   3x + 4 - 4 = 7 - 4
 Or, 3x = 3
 This is the form of the equation we get by the first step, but still we need to follow certain steps to attain the value of x
In second step we divide both sides of the equation by 3
We get 3x / 3 = 3 / 3
Or x = 1 is the solution to the given equation.

Let us take another example:
  30 = 2z - 20
Here in first step of solution, we add 20 to both sides of the given equation.
We get,
 30 + 20 = 2z -20 + 20
Or, 50 = 2z
We will proceed to second step to find the value of z
 So, we divide both sides of the equation by 2
We get 50 / 2 = 2z / 2

              z= 25 is the required solution.

 Children, here we have another example of Solving two step inequality:
        5x -6 =< 16
   We proceed for first step of solution by adding 6 on both sides
     5x - 6 + 6 < = 16 + 6
 Or   5x <= 22
Now in second step we divide both sides of the inequality by 5
We get
 5x /5 < = 22 / 5
 x < = 22/7 Ans.
This is all about the Two Step Linear inequality and if anyone want to know about Solving Multi Step Inequalities then they can refer to Internet and text books for understanding it more precisely. Read more maths topics of different grades such as Probability Distribution in the next session here.

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