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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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Algebra

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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 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 inequality 8x 16?

To solve the inequality of 8x = 16 use simple algebra to isolate x. Divide both sides of the equation by 8. You will then be left with the equation x = 2, which is our answer.


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 -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.


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 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 variables on both sides-negative coefficients?

-85-6x=91+2x


How do you solve an equation with the same variable on both sides?

The variables may have different values.


Which will solve N in 8xN plus 40 equals?

Nothing will solve an expression. You need an equation (an equality or an inequality) beofre a solution of any kind is possible. Tha means you need something on both sides of the equality (or inequality) sign.


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 i the solution to this inequality x- 25 is less than or equal to 33?

Just add 25 to both sides of the inequality - that way, you will isolate the "x", i.e., solve for "x".


What is the answer if 3a is less than -6?

Pressumably you want to solve for "a". Divide both sides of the inequality by 3. That will give you the solution.


How do you solve an inequality that has two different variables?

If this is school work, the solution is as follows: Treat the inequality as an equality and graph the relevant line (straight or curved). Set both variables equal to 0 and find out whether or not the inequality at (0,0) is true. If the inequality is false, reject (shade out) all of the plane on the side of the line that contains the origin while if it is true, reject the part of the plane beyond the line. The unshaded part is the valid (or feasible) region.


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 inequalities using addition subtraction multiplication and division.?

In the same wasy as you solve equations except that if you multiply or divide both sides by a negative number, then the inequality changes direction.


How do you solve equations with fraction?

You solve equations with fractions the same way you solve other equations. You perform various arithmetic operations on both sides of the equals sign until you get the result you want.


How do you solve 3a square root 21?

There is no equation (nor inequality) so there is nothing to solve.There is no equation (nor inequality) so there is nothing to solve.There is no equation (nor inequality) so there is nothing to solve.There is no equation (nor inequality) so there is nothing to solve.


How do you solve fractions?

You cannot solve fractions. There may be sums or products containing fractions or equations that can be solved. But fractions themselves cannot.


Solve the inequality and enter your solution as an inequality comparing the variable to the solution -3 plus x10?

Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x<-33


8x plus y -16?

You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.


Solving equations with variables on both sides?

Manipulate the equation to get all the variables on one side of the equal sign, and the numbers on the other side; then solve. For example, 2x = 10, divide both sides by 2, then the solution is x = 5.


Z-3 greater or equal to 25 solve inequality?

In simple cases such as these, you can solve inequalities just like an equation. In this case, you add 3 to both sides.