Thursday, 2 February 2012

Two Step Linear Inequality

Earlier we have discussed about verifying trigonometric identities and now we are going to start Two step Inequalities or two step equations which falls under gujarat secondary education board,They are the inequalities or equations which cannot be solved in single step operation. It involves the series of steps one after another to get the solution for the given variable in the equation. While we are solving inequality, we must 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:
2x + 4 = 10
In this equation, first we subtract 4 from both the sides,
We get the following form by solving equations :
   2x + 4 - 4 = 10 - 4
 or,  2x = 6
 This solution we get by the first step, but still the value of x is not obtained. So to obtain the value we proceed to second step of solution:

In second step we divide both sides of the equation by 2,
we get 2x / 2 = 6 /2
or x = 3 is the solution to the given equation.

Let us take another example:(Know more about Linear Inequality in broad manner here,)
35 = 5x - 10
Here in first step of solution, we add 10 to both sides of the given equation.
we get,
35 + 10 = 5x -10 + 10
or, 45 = 5x
Now in second step we divide both sides of the equation by 5
we get 45 / 5 = 5x/ 5
            9 = x is the solution of the given
Now let us take an example of Solving Two step Inequalities,
        3x -5 >= 16
For Solving Inequalities
   Add 5 to both sides we get
     3x - 5 + 5 > = 16 + 5
 or 3x  >= 21
Now we divide both sides of the inequality by 3,
we get
 3x /3 > = 21 / 3
 x > = 7 Ans.

This is all about two step equations and Inequalities. In the next article we are going to discuss about solving two step linear inequality and if anyone wants to know about Math Blog on Estimating Quotients then they can refer Internet.

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