*To solve an absolute value equation as $$\left | x 7 \right |=14$$ You begin by making it into two separate equations and then solving them separately.$$x 7 =14$$ $$x 7\, \, =14\, $$ $$x=7$$ or $$x 7 =-14$$ $$x 7\, \, =-14\, $$ $$x=-21$$ An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.Graph: Since we needed to indicate all values less than or equal to 4, the part of the number line that was to the left of 4 was darkened.*

Basically, we still want to get the variable on one side and everything else on the other side by using inverse operations.

The difference is, when a variable is set equal to one number, that number is the only solution.

Quantity of solution at present = 600 liters Quantity of acid in liters in existing solution = 12% of 600 = (12/100) 600 = 72 liters Let "x" be the required quantity of solution to be added.

Acid level in x liters of solution = 30% of x = (30/100)x = 0.3x From this, we come to know that the resulting mixture will contain (600 x) liters solution and (72 0.3x) liters acid.

The following figure shows how to solve two-step inequalities.

Scroll down the page for more examples and solutions.Graph: Since we needed to indicate all values greater than 3, the part of the number line that was to the right of 3 was darkened.The reason for this is, when you multiply or divide an expression by a negative number, it changes the sign of that expression.An absolute value equation is an equation that contains an absolute value expression.The equation $$\left | x \right |=a$$ Has two solutions x = a and x = -a because both numbers are at the distance a from 0.A manufacturer has 600 litres of a 12 percent solution of acid.How many litres of a 30 percent acid solution must be added to it so that the acid content in the resulting mixture will be more than 15 percent but less than 18 percent?At the link you will find the answer as well as any steps that went into finding that answer.The absolute number of a number a is written as $$\left | a \right |$$ And represents the distance between a and 0 on a number line.The rules for solving inequalities are similar to those for solving linear equations. • Solving One-Step Linear Inequalities in One Variable The solutions to linear inequalities can be expressed several ways: using inequalities, using a graph, or using interval notation.However, there is one exception when multiplying or dividing by a negative number. The steps to solve linear inequalities are the same as linear equations, except if you multiply or divide by a negative when solving for the variable, you must reverse the inequality symbol. Express the solution as an inequality, graph and interval notation.

## Comments Solving Inequality Problems

## Solve inequalities with Step-by-Step Math Problem Solver

Solve linear or quadratic inequalities with our free step-by-step algebra calculator. Enter a polynomial inequality along with the variable to be solved for and click the Solve button.…

## Solving Inequalities

Solving inequalities is very like solving equations. we do most of the same things. but we must also pay attention to the direction of the inequality. Direction Which way the arrow "points".…

## Solving Problems of Inequality in Schools - Edsys

Types of inequalities in schools 1. Gender inequality. Not only in schools, but it is also a major problemTo solve gender inequalities, the teachers and parents involved should work together.…

## Solving Word Problems in Algebra - Inequalities

Try solving these inequality word are you with solving word problems in Algebra? Are you ready to dive into the "real world" of inequalities?…

## Solving Linear Inequality Word Problems - YouTube

In this Algebra lesson I beginning reviewing how to graph inequalities on a number line. I then work through 5 examples. Example 1-3 Setting up single.…

## Art of Problem Solving

The subject of mathematical inequalities is tied closely with optimization methods. While most of the subject of inequalities is often left out of the ordinary educational track, they are common in mathematics Olympiads.…

## Algebra - Solving Equations and Inequalities Practice

Here is a set of practice problems to accompany the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University.…

## Solving absolute value equations and inequalities

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.…

## Solving Inequalities examples, solutions, videos

Solving Two-Step Linear Inequalities in One Variable Examples Solve. Express the solution as anTry the given examples, or type in your own problem and check your answer with the step-by-step.…