How To Solve Inequalities With Fractions And Whole Numbers

Inequality with or without fractions are solved using the negative signs to reverse the direction of the inequalities. This video is all about how to solve an inequality with a fractio.

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6 x 3 Now multiply each part by 1.

How to solve inequalities with fractions and whole numbers. To solve an inequality use the following steps. An example problem on solving and graphing inequalities with fractions. Dont forget that if you multiply or divide by a negative number you MUST flip the sign of the inequality.

To solve an inequality containing fractions focus on isolating the variable on one side of the inequality. In this tutorial youll see how to subtract fractions with unlike denominators in order to isolate the variable and find the answer to the inequality. We have the equation 34 X plus 2 is equal to 38 X minus 4 now we could just write from the get-go solve this way we solved everything else group the X terms maybe on the left hand side group the constant terms on the right hand side but adding and subtracting fractions are messy so Im going to do right from the start of this video is to multiply both sides of this equation by some number so I can get rid of the fractions and the best number to do it by what number is the smallest number.

Fractions do not change the way inequalities are solved. Then solve the inequality by performing the order of operations in reverse. Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Solving some simple inequalities Suppose we want to solve the inequality x3 2. See how to turn a word problem into an inequality. To evaluate the part of the number line that fully satisfies the provided fractional inequality we take any value from each part of the number line and put it in for x in the given inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other. Fraction do not change the way inequalities are solved remember to reverse the direction of the inequality whenever the inequality. Remember when adding or subtracting fractions the denominators must be the same.

Now divide each part by 2 a positive number so again the inequalities dont change. Thats one of the big differences between solving equalities and solving inequalities. How to solve 1x1-xis greater than2-x2xWe do this by multiplying through the inequality by always positive terms simplifying the express.

Then how do you solve inequalities with fractions. Because we are multiplying by a negative number the inequalities. Visit httpwww3minutemathscouk for quick reminder High School GCSE mathematics videos.

We can solve this by subtracting 3 from both sides. When dealing with fractions it is optional and easier to clear the fractions by multiplying every term by the LCM of the terms resulting in all whole numbers. To solve an inequality use the following stepsStep 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractionsStep 2 Simplify by combining like terms on each side of the inequalityStep 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Step 2 Simplify by combining like terms on each side of the inequality. Note on the graph it should say -24 NOT -25 Note on the graph it should say -24 NOT -25. The fraction is in the form of a mixed number so first we need to convert it to an improper fraction.

Also how do you solve. Inequalities can be represented on a number line such as that shown in Figure 1. This means that any value of x greater than 1 satises x3 2.

Treat the fractions the same way that fractions would be solved in an equation. X3 2 x 1 So the solution is x 1. The values considered for explanation are highlighted with yellow on the number line.

To get the whole number 2 to have the same denominator make it into a fraction 21 then multiply the top and bottom by 7.

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