Solving Inequalities

If we have two values and both given values are not equal then we say that there is an inequality in both the values. Some of the conditions of an inequality are:

Suppose we have two variables ‘u’ and ‘v’. If u ≠ v; which represents u is not equal to v, and if u < v then we say that u is less than v, and if u > v then we say that u is greater then v. when u <= v, it means u is less than equal to v. When u >= v then u is greater than equal to v.

Now we will understand how to Solving Inequalities using multiplication and division? To find inequalities by multiplication and division we need to follow some steps which are shown below:

Step1: To solve inequality first of all we have to take an equation.

Step2: Remember that the inequality equation should only be defined in above symbols.

Step3: If equal sign is present in between the equation then the given equation never contain any inequality. Now we will understand it with the help of small example: (know more about Solving Inequalities, here)

Lets we have –a / 5 > 21; then solving inequalities by multiplication or division method. To solve inequality we need to follow all the above mention steps:

To find inequality first we have to take inequality, and if it has < or > signs then it is an inequality. So, the given equality can be written as:

= –a / 5 > 21,

To solve the inequality we have to multiply -5 on both sides of equation. On multiplying -5 we get:

= – a / 5 > 2,

= (-5) * -a / 5 > 21 * -5,

= 5a / 5 > -105, On further solving inequality we get:

If we divide 5 from 5 then we get 1. Now we have equation like this:

= a > -105, So it can be written as:

= a < -105. In this way we can solve inequality.

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