How To Solve Inequalities Word Problems

SOLVING WORD PROBLEMS USING INEQUALITIES Many of the real-life word problems can be solved algebraically by translating the given information into an inequality and then solving the inequality. X x 2 20.

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Highlight the important information and key words that you need to solve the problem.

How to solve inequalities word problems. Solve the equation algebraically using substitution. Word Problem Solving Strategies Read through the entire problem. SOLVING LINEAR INEQUALITIES WORD PROBLEMS.

Translate the words into algebraic expressions by rewriting the given information in terms of the variable. Solve word problems that involve linear inequalities in two variables. Steps for Solving a System of Inequalities Word Problem Read the problem and highlight important information.

Find a different piece of information that you can use to write a second. Read and understand the information carefully and translate the statements into linear inequalities. Sum of the integers is more than 20.

X 2 18. Write your answer in a complete sentence. X x 2 20.

Find one piece of information in the problem that you can use to write an inequality. Check or justify your answer. W 2 8W 16 7 16.

Form one Inequality statement and solve. Read the problem carefully noting punctuation and determine the question being asked. Alex Car Rental charges a flat fee of 4000 per day plus 054 per mile to.

It looks like the questions are designed to see if you understand what the numbers and variables in the inequality represent. Inequality is the opposite of equality meaning they are not equal. But these things will change direction of the inequality.

Create a sidebar by identifying all important information and translating words into algebraic expressions. If youre seeing this message it means were having trouble loading external resources on our website. Solve for the variable using basic operations like addition subtraction multiplication and division.

In solving this kind of problems when both the smaller and larger integers are less than 18 always we have to take the larger integer to form inequality. W 2 8W 7 Complete the square on the left side of the inequality and balance this by adding the same value to the right side of the inequality. Look for what the problem defines tells you.

Subtract 2 from each side. Multiplying or dividing both sides by a negative number Swapping left and right hand sides. Write the equation or inequality.

X 16 ----- 1 Given. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. Assign a variable to the unknown quantity for example x x.

Greater than less than not equal to are all strict inequalities as they are not equal to each other. Move the number term 7 to the right side of the inequality. We can follow the steps given below to solve word problems on linear inequalities.

So the 7 in the inequality is the speed biking. Many simple inequalities can be solved by adding subtracting multiplying or dividing both sides until you are left with the variable on its own. There are some inequalities that are a little more flexible where it could be equal to such as greater than or equal to and less than or equal to.

-- In the 2nd sentence it tells you she bikes at a rate of 7 ms. We begin this lesson with a quick review of our three basic steps for solving any type of word problem. It can be solved many way here we will solve it by completing the square.

Set up an equation or system of equations to solve for the variable.

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