Solve Inequalities Calculator

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Solving inequalities calculator is the tool to solve the equations which involves inequalities. This tool simply uses the rules and formulas of inequalities. This tool firstly helps in Simplification of the inequality equation and also helps in solving for unknown variable. The negative sign has a very vital role in this type of problems, as it reverses the sign of inequality that is > or <.


The solve inequalities calculator   tool   can be used to solve and evaluate different kinds of situations involving inequalities.



Example 1. Solve Inequalities  6x + 9 < 3(x + 1)

Solution 1: First we will multiply through on the right-hand side, and then solve as usual:

Step 1:- 6x + 9 < 3(x + 1)

Here , we will use distributive law

=>  6x + 9 < 3x + 3

Step 2:- Subtracting both the sides from 3x , we will get

=> 3x + 9 < 3

=> 3x< –6

Step 3 : Dividing both the sides by 3 , we will get

=> x< -2

So , here the solution is x < -2


Example 2. Solve the inequalities 3(x -1) + 4 >  2(2x -3)

Solution 2:- Here we need to solve the following by step by step method, which is described as follows:-

Step 1:- 3(x – 1) + 4 > 2(2x – 3)

Here we will use distributive law , we have

= > 3x – 3 + 4 > 4x – 6

= > 3x +1 > 4x – 6

Step 2: Subtracting 4x from both the sides , we will get

=> - 1x + 1  >  – 6

Step 3:  Subtracting 1 from both the sides , we will get

=> -1x  >  -7

Step 4: Divide both the sides by -1 , we will get

=> x ≤ 7

Here the answer for inequalities  x ≤ 7


 

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