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You solve an inequality the same way you solve an equality. You add and subtract, multiply and divide, both sides by the same value in order to isolate one of the variables. The only extra thing you need to remember is that if you multiply or divide by a negative number, you must reverse the order of the inequality, i.e. less than or equal becomes greater than or equal.

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Q: How do you solve an inequality with fractions and variables on both sides?
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Related questions

How do you solve the inequality of a fraction?

Basically, the same way you solve any inequality. However, it may be simpler if you multiply both sides of the inequality by the fraction's denominator first; that way, you will only have integers, and don't need to deal with fractions later on. If you have several fractions, you might multiply both sides of the fraction by the least common denominator.


How can you use proportions to solve equations with variables on both sides?

A calculator can be used to proportions to answer a equation. This is easier to solve when having variables on both sides.


How do you solve inequality 8x 16?

8x = 16 is NOT an 'Inequality#'. However, 8x > 16 is an inequality as is 8x > 16 . NB Treat inequalities as an 'equals'. except for negative numbers or fractions. Hence 8x > 16 Divide both sides by '8' x > 2 Similarly 8x < 16 x < 2


How do you solve variables on both sides equation using integer rules?

You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.


How do you solve radical equations with variables on both sides?

First, get the radical by itself. Then, square both sides of the equation. Then just solve the rest.


How do you solve two-step equations with fractions on one side?

Assuming you want to get rid of the fractions, you can multiply both sides of the equations by the greatest common factor of the fractions. Then you can solve the equation normally.


How do you solve the inequality lx over 3 plus 2l is less than or equal to 8?

There is one linear inequality in 2 variables: l and x. That is not enough to obtain a solution.


How do you solve an equation with two different variables on one side?

You decide to solve for one of the variables, for example, for "y". What exactly you do would depend on how the variables are related. For example, if you have:x + y = 5 and you want to solve for "y", you subtract "x" on both sides. If you have a product, such as: xy = 10 you divide both sides by "x".


What is the similarities of solving equations and inequalities?

You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.


How do you solve an inequality when using the distributive property?

You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3


How do you solve -12 is less than or equal to -12?

You normally "solve" something when there is a variable involved. In this case there is no variable. All you have to do is decide whether it is true or false. If this is derived from an original equation (or, in this case, inequality) which involved variables, then if the equation (or inequality) without variables is true, it means it is true for ANY value of the variable. If it is false, the original equation (or inequality) can't be satisfied by any value of the variable.


How do you solve variables on both sides-negative coefficients?

-85-6x=91+2x