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# How to Solve Inequalities with Fractions?

In Algebra if we want to solve any inequality then we have to check that given condition is true or not. For that we put the random values in variable terms. The inequality term is basically written with following symbols <, >, ≤, ≥. If we want to know how to solve inequalities with Fractions then we have to follow some steps which are as follows:
We first move all variable terms in left hand side and all constant terms in right hand side and while moving terms it is necessary that sign should be changed.

If any term in the inequality is in fraction form then we multiply the whole term (both hand sides) by denominator.
After that we solve the inequality according to the operator is used or divide the constant term by variable co - efficient to isolate the variable.

Next we put the random values of variable and check that inequality satisfies for given value or not.

To understand fraction inequalities, we take an example of inequality (-2/3) k + 6 ≤ 1.
Here we can easily see that denominator is 3 in the first term of left hand side. So we multiply the whole inequality with 3.
-2k + 18 ≤ 3,
Now we move all the constant terms on right hand side and all variable terms on left hand side. So after moving
-2x ≤ 3 – 18,
Now we subtract 18 from both side by adding – 18.
-2x ≤ -15,
To remove the negative sign we divide -15 with the co -efficient of variable ‘x’ which is -2 and change the direction of an inequality.
So x ≥ 15 / 2.
Here the variable ‘x’ is greater than or equals to value (15/2).