# How to write and solve inequalities

And that works well for adding and subtracting, because if we add or subtract the same amount from both sides, it does not affect the inequality Example: Alex has more coins than Billy. Are you ready to dive into the "real world" of inequalities? I know that solving word problems in Algebra is probably not your favorite, but there's no point in learning the skill if you don't apply it.

I promise to make this as easy as possible. Pay close attention to the key words given below, as this will help you to write the inequality. Once the inequality is written, you can solve the inequality using the skills you learned in our past lessons.

I've tried to provide you with examples that could pertain to your life and come in handy one day. Think about others ways you might use inequalities in real world problems. I'd love to hear about them if you do! Before we look at the examples let's go over some of the rules and key words for solving word problems in Algebra or any math class.

Word Problem Solving Strategies Read through the entire problem. Highlight the important information and key words that you need to solve the problem. Write the equation or inequality.

Here are a few key words that we associate with inequalities! Keep these handy as a reference. Inequality Key Words at least - means greater than or equal to no more than - means less than or equal to more than - means greater than less than - means less than Ok Write an inequality that represents Keith's situation.

How many weeks can Keith withdraw money from his account? Highlight the important information in this problem. At least is a key word that notes that this problem must be written as an inequality. What don't you know?

 Absolute value inequalities word problem (video) | Khan Academy Equations and Inequalities Involving Signed Numbers In chapter 2 we established rules for solving equations using the numbers of arithmetic. Now that we have learned the operations on signed numbers, we will use those same rules to solve equations that involve negative numbers.

The question verifies that you don't know how many weeks. You would probably think that at least means less than.

## Solve an Inequality - WebMath

So, we must use the greater than or equal to symbol. The number of weeks that Keith can withdraw money from his account is 12 weeks or less.Absolute value inequalities word problem. This is the currently selected item.

they want us to write an absolute value inequality that models this relationship, and then find the range of widths that the table leg can be.

## Solve an Inequality - WebMath

So let's solve each of these. If we add to both sides of these equations, if you add and we can actually. Learn how to solve linear inequalities with a single variable. For example, solve -3(x+1)>2x Learn how to solve compound inequalities. For example, solve 2x+1>3 AND . In this lesson you will learn to create an inequality given a word problem by using algebraic reasoning.

## You've reached the end of the assessment.

Solving linear inequalities is almost exactly like solving linear equations. Solve x + 3. Solve linear or quadratic inequalities with our free step-by-step algebra calculator Home are equivalent equations. Example 1 Write an equation equivalent to.

x + 3 = 7.

## SOLVING EQUATIONS

by subtracting 3 from each member. Solution Subtracting 3 from each member yields. How to Solve. Solving inequalities is very like solving equations we do most of the same things ..

High School Math Solutions – Inequalities Calculator, Compound Inequalities In the previous post, we talked about solving linear inequalities. In today’s post we will focus on compound inequalities. Learn how to solve linear inequalities with a single variable. For example, solve -3(x+1)>2x Learn how to solve compound inequalities. For example, solve 2x+1>3 AND . The other case for absolute value inequalities is the "greater than" case. Let's first return to the number line, and consider the inequality | x | > The solution will be all .

but we must also pay attention to the direction of the inequality.. Direction: Which way the arrow "points".

Write an inequality from a word problem | LearnZillion